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61772043096 = 2334714792803
BaseRepresentation
bin111001100001111001…
…101001001101011000
312220102222222220220000
4321201321221031120
52003002120334341
644213325133000
74314524463051
oct714171511530
9186388886800
1061772043096
1124219787295
12bb7b3ba160
135a9590c1ba
142dbdd6d728
1519180d78b6
hexe61e69358

61772043096 has 160 divisors (see below), whose sum is σ = 175884825600. Its totient is φ = 20251062720.

The previous prime is 61772043071. The next prime is 61772043101. The reversal of 61772043096 is 69034027716.

61772043096 is a `hidden beast` number, since 61 + 7 + 72 + 0 + 430 + 96 = 666.

61772043096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22036431 + ... + 22039233.

It is an arithmetic number, because the mean of its divisors is an integer number (1099280160).

Almost surely, 261772043096 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 61772043096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87942412800).

61772043096 is an abundant number, since it is smaller than the sum of its proper divisors (114112782504).

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

61772043096 is a wasteful number, since it uses less digits than its factorization.

61772043096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 61772043096 in words is "sixty-one billion, seven hundred seventy-two million, forty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 479 568 639 648 852 958 1278 1437 1704 1916 1917 2556 2803 2874 3832 3834 4311 5112 5606 5748 5751 7668 8409 8622 11212 11496 11502 12933 15336 16818 17244 22424 23004 25227 25866 33636 34009 34488 38799 46008 50454 51732 67272 68018 75681 77598 100908 102027 103464 136036 151362 155196 199013 201816 204054 227043 272072 302724 306081 310392 398026 408108 454086 597039 605448 612162 796052 816216 908172 918243 1194078 1224324 1342637 1592104 1791117 1816344 1836486 2388156 2448648 2685274 2754729 3582234 3672972 4027911 4776312 5370548 5373351 5509458 7164468 7345944 8055822 10741096 10746702 11018916 12083733 14328936 16111644 16120053 21493404 22037832 24167466 32223288 32240106 36251199 42986808 48334932 64480212 72502398 95327227 96669864 108753597 128960424 145004796 190654454 217507194 285981681 290009592 381308908 435014388 571963362 762617816 857945043 870028776 1143926724 1715890086 2287853448 2573835129 3431780172 5147670258 6863560344 7721505387 10295340516 15443010774 20590681032 30886021548 61772043096