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1056440446501 = 112101263328687
BaseRepresentation
bin11110101111110001100…
…00011110111000100101
310201222212011002011210111
433113320300132320211
5114302042223242001
62125153321053021
7136216402426516
oct17277060367045
93658764064714
101056440446501
113780410aa800
121508b3927171
137881143774b
14391bc278a0d
151c731746851
hexf5f8c1ee25

1056440446501 has 24 divisors (see below), whose sum is σ = 1177171091712. Its totient is φ = 947273052000.

The previous prime is 1056440446487. The next prime is 1056440446517.

It is a happy number.

1056440446501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1056440446501 - 229 = 1055903575589 is a prime.

It is a super-2 number, since 2×10564404465012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056440447501) 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 23 ways as a sum of consecutive naturals, for example, 3049780 + ... + 3378466.

It is an arithmetic number, because the mean of its divisors is an integer number (49048795488).

Almost surely, 21056440446501 is an apocalyptic number.

1056440446501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1056440446501 is a deficient number, since it is larger than the sum of its proper divisors (120730645211).

1056440446501 is a wasteful number, since it uses less digits than its factorization.

1056440446501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329073 (or 329062 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 1056440446501 in words is "one trillion, fifty-six billion, four hundred forty million, four hundred forty-six thousand, five hundred one".

Divisors: 1 11 101 121 263 1111 2893 12221 26563 31823 292193 328687 3214123 3615557 33197387 39771127 86444681 365171257 950891491 4016883827 8730912781 10459806401 96040040591 1056440446501