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1056992529528 = 2335132316710889
BaseRepresentation
bin11110110000110011010…
…10100000110001111000
310202001021121220220100000
433120121222200301320
5114304210041421103
62125324202113000
7136236155155155
oct17303152406170
93661247826300
101056992529528
113782a47aa971
12150a287ab760
137889b9270b0
143923170b22c
151c764e4baa3
hexf619aa0c78

1056992529528 has 384 divisors, whose sum is σ = 3356364211200. Its totient is φ = 309196901376.

The previous prime is 1056992529493. The next prime is 1056992529589. The reversal of 1056992529528 is 8259252996501.

1056992529528 is a `hidden beast` number, since 1 + 0 + 5 + 69 + 9 + 25 + 29 + 528 = 666.

It is a super-2 number, since 2×10569925295282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97064308 + ... + 97075196.

It is an arithmetic number, because the mean of its divisors is an integer number (8740531800).

Almost surely, 21056992529528 is an apocalyptic number.

1056992529528 is a gapful number since it is divisible by the number (18) 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 1056992529528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678182105600).

1056992529528 is an abundant number, since it is smaller than the sum of its proper divisors (2299371681672).

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

1056992529528 is a wasteful number, since it uses less digits than its factorization.

1056992529528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 1056992529528 in words is "one trillion, fifty-six billion, nine hundred ninety-two million, five hundred twenty-nine thousand, five hundred twenty-eight".