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2076397618944 = 28311443554821
BaseRepresentation
bin11110001101110010111…
…100010100011100000000
321100111112201110000011110
4132031302330110130000
5233004430242301234
64225514531043320
7303005032360005
oct36156274243400
97314481400143
102076397618944
11730660362740
12296505440540
13120a5a26435c
14726d90198ac
153902a0b91e9
hex1e372f14700

2076397618944 has 144 divisors (see below), whose sum is σ = 6042251263104. Its totient is φ = 627789926400.

The previous prime is 2076397618891. The next prime is 2076397618973. The reversal of 2076397618944 is 4498167936702.

It is a super-2 number, since 2×20763976189442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3465054 + ... + 4019874.

It is an arithmetic number, because the mean of its divisors is an integer number (41960078216).

Almost surely, 22076397618944 is an apocalyptic number.

2076397618944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076397618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021125631552).

2076397618944 is an abundant number, since it is smaller than the sum of its proper divisors (3965853644160).

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

2076397618944 is a wasteful number, since it uses less digits than its factorization.

2076397618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555294 (or 555280 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 2076397618944 in words is "two trillion, seventy-six billion, three hundred ninety-seven million, six hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 443 528 704 768 886 1056 1329 1408 1772 2112 2658 2816 3544 4224 4873 5316 7088 8448 9746 10632 14176 14619 19492 21264 28352 29238 38984 42528 56704 58476 77968 85056 113408 116952 155936 170112 233904 311872 340224 467808 554821 623744 935616 1109642 1247488 1664463 1871232 2219284 3328926 3742464 4438568 6103031 6657852 8877136 12206062 13315704 17754272 18309093 24412124 26631408 35508544 36618186 48824248 53262816 71017088 73236372 97648496 106525632 142034176 146472744 195296992 213051264 245785703 292945488 390593984 426102528 491571406 585890976 737357109 781187968 983142812 1171781952 1474714218 1562375936 1966285624 2343563904 2703642733 2949428436 3932571248 4687127808 5407285466 5898856872 7865142496 8110928199 10814570932 11797713744 15730284992 16221856398 21629141864 23595427488 31460569984 32443712796 43258283728 47190854976 62921139968 64887425592 86516567456 94381709952 129774851184 173033134912 188763419904 259549702368 346066269824 519099404736 692132539648 1038198809472 2076397618944