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997336910747124 = 22321761128212083717
BaseRepresentation
bin1110001011000100101001100…
…0010010010101010111110100
311211210021110220002220021101100
43202301022120102111113310
52021210331443122401444
613453054130210330100
7420034133250104523
oct34261123022252764
94753243802807340
10997336910747124
11269867232662852
1293a366a9589930
1333a6660c3a454c
141383d514cd24ba
157a4804d928e69
hex38b12984955f4

997336910747124 has 144 divisors (see below), whose sum is σ = 2713315544096976. Its totient is φ = 307736514662400.

The previous prime is 997336910747077. The next prime is 997336910747131. The reversal of 997336910747124 is 421747019633799.

997336910747124 is a `hidden beast` number, since 9 + 9 + 73 + 3 + 69 + 1 + 0 + 7 + 471 + 24 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13005269863524 + 984331640883600 = 3606282^2 + 31374060^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477591714 + ... + 479675430.

It is an arithmetic number, because the mean of its divisors is an integer number (18842469056229).

Almost surely, 2997336910747124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997336910747124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356657772048488).

997336910747124 is an abundant number, since it is smaller than the sum of its proper divisors (1715978633349852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

997336910747124 is a wasteful number, since it uses less digits than its factorization.

997336910747124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096626 (or 2096621 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 997336910747124 in words is "nine hundred ninety-seven trillion, three hundred thirty-six billion, nine hundred ten million, seven hundred forty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 6222 9333 12444 12821 18666 25642 37332 38463 51284 76926 115389 153852 217957 230778 435914 461556 653871 782081 871828 1307742 1564162 1961613 2083717 2346243 2615484 3128324 3923226 4167434 4692486 6251151 7038729 7846452 8334868 9384972 12502302 13295377 14077458 18753453 25004604 26590754 28154916 35423189 37506906 39886131 53181508 70846378 75013812 79772262 106269567 119658393 127106737 141692756 159544524 212539134 239316786 254213474 318808701 381320211 425078268 478633572 508426948 637617402 762640422 1143960633 1275234804 1525280844 2160814529 2287921266 4321629058 4575842532 6482443587 8643258116 12964887174 19447330761 25929774348 26715335657 38894661522 53430671314 77789323044 80146006971 106861342628 160292013942 240438020913 320584027884 454160706169 480876041826 908321412338 961752083652 1362482118507 1629635475077 1816642824676 2724964237014 3259270950154 4087446355521 4888906425231 5449928474028 6518541900308 8174892711042 9777812850462 14666719275693 16349785422084 19555625700924 27703803076309 29333438551386 55407606152618 58666877102772 83111409228927 110815212305236 166222818457854 249334227686781 332445636915708 498668455373562 997336910747124