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1056253736704 = 2831902914741
BaseRepresentation
bin11110101111011011010…
…00001111011100000000
310201222101010202100002211
433113231220033130000
5114301201424033304
62125123011151504
7136211644424215
oct17275550173400
93658333670084
101056253736704
11377a55774991
121508612a5594
13787b185478a
14391a1555b0c
151c720165204
hexf5eda0f700

1056253736704 has 72 divisors (see below), whose sum is σ = 2176782491520. Its totient is φ = 510999244800.

The previous prime is 1056253736683. The next prime is 1056253736729. The reversal of 1056253736704 is 4076373526501.

It is a super-2 number, since 2×10562537367042 (a number of 25 digits) contains 22 as substring.

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, 71646774 + ... + 71661514.

It is an arithmetic number, because the mean of its divisors is an integer number (30233090160).

Almost surely, 21056253736704 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 1056253736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088391245760).

1056253736704 is an abundant number, since it is smaller than the sum of its proper divisors (1120528754816).

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

1056253736704 is an equidigital number, since it uses as much as digits as its factorization.

1056253736704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23817 (or 23803 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 1056253736704 in words is "one trillion, fifty-six billion, two hundred fifty-three million, seven hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936 9029 14741 18058 29482 36116 58964 72232 117928 144464 235856 279899 288928 456971 471712 559798 577856 913942 943424 1119596 1155712 1827884 1886848 2239192 2311424 3655768 3773696 4478384 7311536 8956768 14623072 17913536 29246144 35827072 58492288 71654144 116984576 133096489 266192978 532385956 1064771912 2129543824 4125991159 4259087648 8251982318 8518175296 16503964636 17036350592 33007929272 34072701184 66015858544 132031717088 264063434176 528126868352 1056253736704