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1056427595904 = 27319547726437
BaseRepresentation
bin11110101111101111111…
…11011101100010000000
310201222211020220022002110
433113313333131202000
5114302030431032104
62125152141415320
7136216155255312
oct17276777354200
93658736808073
101056427595904
1137803492297a
121508ab56a540
137880b888545
14391ba6917b2
151c730558e89
hexf5f7fdd880

1056427595904 has 128 divisors (see below), whose sum is σ = 2954478225600. Its totient is φ = 333535186944.

The previous prime is 1056427595887. The next prime is 1056427595917. The reversal of 1056427595904 is 4095957246501.

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

It is a super-2 number, since 2×10564275959042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39946974 + ... + 39973410.

Almost surely, 21056427595904 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 1056427595904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477239112800).

1056427595904 is an abundant number, since it is smaller than the sum of its proper divisors (1898050629696).

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

1056427595904 is a wasteful number, since it uses less digits than its factorization.

1056427595904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31950 (or 31938 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 1056427595904 in words is "one trillion, fifty-six billion, four hundred twenty-seven million, five hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 5477 7296 10954 16431 21908 26437 32862 43816 52874 65724 79311 87632 104063 105748 131448 158622 175264 208126 211496 262896 312189 317244 350528 416252 422992 502303 525792 624378 634488 701056 832504 845984 1004606 1051584 1248756 1268976 1506909 1665008 1691968 2009212 2103168 2497512 2537952 3013818 3330016 3383936 4018424 4995024 5075904 6027636 6660032 8036848 9990048 10151808 12055272 13320064 16073696 19980096 24110544 32147392 39960192 48221088 64294784 96442176 144795449 192884352 289590898 434386347 579181796 868772694 1158363592 1737545388 2316727184 2751113531 3475090776 4633454368 5502227062 6950181552 8253340593 9266908736 11004454124 13900363104 16506681186 18533817472 22008908248 27800726208 33013362372 44017816496 55601452416 66026724744 88035632992 132053449488 176071265984 264106898976 352142531968 528213797952 1056427595904