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21756256465 = 553306126821
BaseRepresentation
bin10100010000110001…
…100010000011010001
32002011020020100012111
4110100301202003101
5324024100201330
613554504025321
71400066062066
oct242061420321
962136210174
1021756256465
119254926549
124272162241
1320894c0248
1410a5652c6d
1587503332a
hex510c620d1

21756256465 has 16 divisors (see below), whose sum is σ = 26609784336. Its totient is φ = 17070393600.

The previous prime is 21756256433. The next prime is 21756256469. The reversal of 21756256465 is 56465265712.

It can be written as a sum of positive squares in 8 ways, for example, as 5673704976 + 16082551489 = 75324^2 + 126817^2 .

It is not a de Polignac number, because 21756256465 - 25 = 21756256433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21756256469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797755 + ... + 824575.

It is an arithmetic number, because the mean of its divisors is an integer number (1663111521).

Almost surely, 221756256465 is an apocalyptic number.

It is an amenable number.

21756256465 is a deficient number, since it is larger than the sum of its proper divisors (4853527871).

21756256465 is a wasteful number, since it uses less digits than its factorization.

21756256465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29940.

The product of its digits is 3024000, while the sum is 49.

The spelling of 21756256465 in words is "twenty-one billion, seven hundred fifty-six million, two hundred fifty-six thousand, four hundred sixty-five".

Divisors: 1 5 53 265 3061 15305 26821 134105 162233 811165 1421513 7107565 82099081 410495405 4351251293 21756256465