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21540076956 = 223522160573
BaseRepresentation
bin10100000011111000…
…110111110110011100
32001121011110021200000
4110003320313312130
5323103224430311
613521222334300
71361532430116
oct240370676634
961534407600
1021540076956
1191538a26a2
12421188a390
13205378c788
141084a5c3b6
15861080056
hex503e37d9c

21540076956 has 36 divisors (see below), whose sum is σ = 56465142552. Its totient is φ = 7180025328.

The previous prime is 21540076951. The next prime is 21540076963. The reversal of 21540076956 is 65967004512.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21540076951) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11079315 + ... + 11081258.

It is an arithmetic number, because the mean of its divisors is an integer number (1568476182).

Almost surely, 221540076956 is an apocalyptic number.

It is an amenable number.

21540076956 is an abundant number, since it is smaller than the sum of its proper divisors (34925065596).

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

21540076956 is a wasteful number, since it uses less digits than its factorization.

21540076956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22160592 (or 22160578 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 21540076956 in words is "twenty-one billion, five hundred forty million, seventy-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 22160573 44321146 66481719 88642292 132963438 199445157 265926876 398890314 598335471 797780628 1196670942 1795006413 2393341884 3590012826 5385019239 7180025652 10770038478 21540076956