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1056060106056 = 233214667501473
BaseRepresentation
bin11110101111000100001…
…01100110010101001000
310201221212122101212210100
433113202011212111020
5114300302341343211
62125051453045400
7136204103535324
oct17274205462510
93657778355710
101056060106056
1137796644235a
12150808486860
13787806ba627
1439183950984
151c70d168156
hexf5e2166548

1056060106056 has 24 divisors (see below), whose sum is σ = 2860162787430. Its totient is φ = 352020035328.

The previous prime is 1056060106039. The next prime is 1056060106067. The reversal of 1056060106056 is 6506010606501.

It can be written as a sum of positive squares in only one way, i.e., 937345403556 + 118714702500 = 968166^2 + 344550^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×10560601060563 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1056060106056.

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 5 ways as a sum of consecutive naturals, for example, 7333750665 + ... + 7333750808.

Almost surely, 21056060106056 is an apocalyptic number.

It is an amenable number.

1056060106056 is an abundant number, since it is smaller than the sum of its proper divisors (1804102681374).

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

1056060106056 is a wasteful number, since it uses less digits than its factorization.

1056060106056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667501485 (or 14667501478 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1056060106056 in words is "one trillion, fifty-six billion, sixty million, one hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14667501473 29335002946 44002504419 58670005892 88005008838 117340011784 132007513257 176010017676 264015026514 352020035352 528030053028 1056060106056