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1648859140992 = 27371736083227
BaseRepresentation
bin10111111111100111101…
…010011101001110000000
312211121222211101000020210
4113333213222131032000
5204003330420002432
63301250405434120
7230061160310160
oct27774752351600
95747884330223
101648859140992
11586305aaa258
1222768770b940
13bc64350a55b
1459b3b6c45a0
152cd55c218cc
hex17fe7a9d380

1648859140992 has 128 divisors (see below), whose sum is σ = 5299904528640. Its totient is φ = 443390681088.

The previous prime is 1648859140967. The next prime is 1648859140997. The reversal of 1648859140992 is 2990419588461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×16488591409922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648859140997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17995918 + ... + 18087309.

It is an arithmetic number, because the mean of its divisors is an integer number (41405504130).

Almost surely, 21648859140992 is an apocalyptic number.

1648859140992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1648859140992 is an abundant number, since it is smaller than the sum of its proper divisors (3651045387648).

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

1648859140992 is a wasteful number, since it uses less digits than its factorization.

1648859140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36083268 (or 36083256 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 66.

The spelling of 1648859140992 in words is "one trillion, six hundred forty-eight billion, eight hundred fifty-nine million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 36083227 72166454 108249681 144332908 216499362 252582589 288665816 432998724 505165178 577331632 613414859 757747767 865997448 1010330356 1154663264 1226829718 1515495534 1731994896 1840244577 2020660712 2309326528 2453659436 3030991068 3463989792 3680489154 4041321424 4293904013 4618653056 4907318872 6061982136 6927979584 7360978308 8082642848 8587808026 9814637744 12123964272 12881712039 13855959168 14721956616 16165285696 17175616052 19629275488 24247928544 25763424078 29443913232 32330571392 34351232104 39258550976 48495857088 51526848156 58887826464 68702464208 78517101952 96991714176 103053696312 117775652928 137404928416 206107392624 235551305856 274809856832 412214785248 549619713664 824429570496 1648859140992