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1056939866304 = 2637171921271009
BaseRepresentation
bin11110110000101101000…
…01100111100011000000
310202001010221211022222020
433120112201213203000
5114304103101210204
62125315041241440
7136234645426110
oct17302641474300
93661127738866
101056939866304
11378278000243
12150a13033280
1378890a4871a
143922871d040
151c7604e7bd9
hexf6168678c0

1056939866304 has 672 divisors, whose sum is σ = 3603151503360. Its totient is φ = 266875305984.

The previous prime is 1056939866261. The next prime is 1056939866317. The reversal of 1056939866304 is 4036689396501.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10569398663042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1047511752 + ... + 1047512760.

Almost surely, 21056939866304 is an apocalyptic number.

1056939866304 is a gapful number since it is divisible by the number (14) 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 1056939866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801575751680).

1056939866304 is an abundant number, since it is smaller than the sum of its proper divisors (2546211637056).

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

1056939866304 is a wasteful number, since it uses less digits than its factorization.

1056939866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 1056939866304 in words is "one trillion, fifty-six billion, nine hundred thirty-nine million, eight hundred sixty-six thousand, three hundred four".