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1016557174401 = 31929614977117
BaseRepresentation
bin11101100101011111000…
…01110111111010000001
310121011220121200000212120
432302233201313322001
5113123402114040101
62054555552114453
7133305143261346
oct16625741677201
93534817600776
101016557174401
113621350290aa
12145022b35a29
1374b26604962
14372b73b47cd
151b69a11ab36
hexecaf877e81

1016557174401 has 16 divisors (see below), whose sum is σ = 1475945083200. Its totient is φ = 619896932928.

The previous prime is 1016557174379. The next prime is 1016557174411. The reversal of 1016557174401 is 1044717556101.

It is not a de Polignac number, because 1016557174401 - 26 = 1016557174337 is a prime.

It is a super-2 number, since 2×10165571744012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1016557174411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307486906 + ... + 307490211.

It is an arithmetic number, because the mean of its divisors is an integer number (92246567700).

Almost surely, 21016557174401 is an apocalyptic number.

It is an amenable number.

1016557174401 is a deficient number, since it is larger than the sum of its proper divisors (459387908799).

1016557174401 is a wasteful number, since it uses less digits than its factorization.

1016557174401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614977168.

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 1016557174401 in words is "one trillion, sixteen billion, five hundred fifty-seven million, one hundred seventy-four thousand, four hundred one".

Divisors: 1 3 19 29 57 87 551 1653 614977117 1844931351 11684565223 17834336393 35053695669 53503009179 338852391467 1016557174401