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1056318953760 = 2532573161151367
BaseRepresentation
bin11110101111100011000…
…01000001100100100000
310201222112200110201002100
433113301201001210200
5114301320123010020
62125133301050400
7136213365650340
oct17276141014440
93658480421070
101056318953760
11377a89569484
1215087b0b6a00
13787c220a255
14391aa090d20
151c725c48a90
hexf5f1841920

1056318953760 has 1152 divisors, whose sum is σ = 4362728767488. Its totient is φ = 227681280000.

The previous prime is 1056318953749. The next prime is 1056318953801. The reversal of 1056318953760 is 673598136501.

1056318953760 is a `hidden beast` number, since 1 + 0 + 563 + 1 + 8 + 9 + 5 + 3 + 76 + 0 = 666.

It is a super-2 number, since 2×10563189537602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056318953697 and 1056318953706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2878253097 + ... + 2878253463.

It is an arithmetic number, because the mean of its divisors is an integer number (3787090944).

Almost surely, 21056318953760 is an apocalyptic number.

1056318953760 is a gapful number since it is divisible by the number (10) 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 1056318953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181364383744).

1056318953760 is an abundant number, since it is smaller than the sum of its proper divisors (3306409813728).

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

1056318953760 is a wasteful number, since it uses less digits than its factorization.

1056318953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1056318953760 in words is "one trillion, fifty-six billion, three hundred eighteen million, nine hundred fifty-three thousand, seven hundred sixty".