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21864591108 = 22322327197441
BaseRepresentation
bin10100010111001110…
…110010111100000100
32002102210002022101200
4110113032302330010
5324234313403413
614013334022500
71402552646403
oct242716627404
962383068350
1021864591108
1192aaa9aa08
1242a24a7a30
1320a5a91599
1410b5bb363a
1587e7d2573
hex5173b2f04

21864591108 has 72 divisors (see below), whose sum is σ = 57885225216. Its totient is φ = 6945523200.

The previous prime is 21864591079. The next prime is 21864591113. The reversal of 21864591108 is 80119546812.

It is a happy number.

21864591108 is a `hidden beast` number, since 2 + 1 + 86 + 459 + 110 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175668 + ... + 273108.

Almost surely, 221864591108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21864591108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28942612608).

21864591108 is an abundant number, since it is smaller than the sum of its proper divisors (36020634108).

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

21864591108 is a wasteful number, since it uses less digits than its factorization.

21864591108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97745 (or 97740 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 21864591108 in words is "twenty-one billion, eight hundred sixty-four million, five hundred ninety-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 271 276 414 542 813 828 1084 1626 2439 3252 4878 6233 9756 12466 18699 24932 37398 56097 74796 97441 112194 194882 224388 292323 389764 584646 876969 1169292 1753938 2241143 3507876 4482286 6723429 8964572 13446858 20170287 26406511 26893716 40340574 52813022 79219533 80681148 105626044 158439066 237658599 316878132 475317198 607349753 950634396 1214699506 1822049259 2429399012 3644098518 5466147777 7288197036 10932295554 21864591108