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56077013100032 = 29537213286499
BaseRepresentation
bin11001100000000011100100…
…11100100010011000000000
321100112220120110102122120022
430300001302130202120000
524322231210323200112
6315133231342233012
714545300442451611
oct1460016234423000
9240486513378508
1056077013100032
1116960144a74451
126358126285768
13253a06913bc42
14dbc1db5b9c08
15673a59c5dd72
hex330072722600

56077013100032 has 80 divisors (see below), whose sum is σ = 114174773262000. Its totient is φ = 27505568243712.

The previous prime is 56077013099983. The next prime is 56077013100049. The reversal of 56077013100032 is 23000131077065.

It is a junction number, because it is equal to n+sod(n) for n = 56077013099965 and 56077013100001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195588719 + ... + 195875217.

It is an arithmetic number, because the mean of its divisors is an integer number (1427184665775).

Almost surely, 256077013100032 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 56077013100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57087386631000).

56077013100032 is an abundant number, since it is smaller than the sum of its proper divisors (58097760161968).

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

56077013100032 is an equidigital number, since it uses as much as digits as its factorization.

56077013100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293783 (or 293767 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

Adding to 56077013100032 its reverse (23000131077065), we get a palindrome (79077144177097).

The spelling of 56077013100032 in words is "fifty-six trillion, seventy-seven billion, thirteen million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3392 6784 7213 13568 14426 27136 28852 57704 115408 230816 286499 382289 461632 572998 764578 923264 1145996 1529156 1846528 2291992 3058312 3693056 4583984 6116624 9167968 12233248 15184447 18335936 24466496 30368894 36671872 48932992 60737788 73343744 97865984 121475576 146687488 195731968 242951152 485902304 971804608 1943609216 2066517287 3887218432 4133034574 7774436864 8266069148 16532138296 33064276592 66128553184 109525416211 132257106368 219050832422 264514212736 438101664844 529028425472 876203329688 1058056850944 1752406659376 3504813318752 7009626637504 14019253275008 28038506550016 56077013100032