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56001000445 = 5134801179453
BaseRepresentation
bin110100001001111010…
…110111001111111101
312100112210202120122121
4310021322313033331
51404142224003240
641420531442541
74021520435605
oct641172671775
9170483676577
1056001000445
1121828117555
12aa2a756451
1353860c8c70
1429d371dc05
1516cb62904a
hexd09eb73fd

56001000445 has 16 divisors (see below), whose sum is σ = 72386001072. Its totient is φ = 41345740800.

The previous prime is 56001000437. The next prime is 56001000469. The reversal of 56001000445 is 54400010065.

56001000445 = 1673332 + 1673342.

It can be written as a sum of positive squares in 8 ways, for example, as 339922969 + 55661077476 = 18437^2 + 235926^2 .

It is not a de Polignac number, because 56001000445 - 23 = 56001000437 is a prime.

It is a super-2 number, since 2×560010004452 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 222339 + ... + 401791.

It is an arithmetic number, because the mean of its divisors is an integer number (4524125067).

Almost surely, 256001000445 is an apocalyptic number.

56001000445 is the 167334-th centered square number.

It is an amenable number.

56001000445 is a deficient number, since it is larger than the sum of its proper divisors (16385000627).

56001000445 is a wasteful number, since it uses less digits than its factorization.

56001000445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184272.

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 56001000445 in words is "fifty-six billion, one million, four hundred forty-five", and thus it is an aban number.

Divisors: 1 5 13 65 4801 24005 62413 179453 312065 897265 2332889 11664445 861553853 4307769265 11200200089 56001000445