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21265276320 = 2532514767553
BaseRepresentation
bin10011110011100000…
…100101110110100000
32000220000100222001200
4103303200211312200
5322022402320240
613434044401200
71351654603101
oct236340456640
960800328050
1021265276320
11902276a932
124155846200
13200b875852
14105a3683a8
15846d9c930
hex4f3825da0

21265276320 has 72 divisors (see below), whose sum is σ = 72567760356. Its totient is φ = 5670739968.

The previous prime is 21265276309. The next prime is 21265276453. The reversal of 21265276320 is 2367256212.

21265276320 is a `hidden beast` number, since 2 + 1 + 2 + 65 + 276 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20774033424 + 491242896 = 144132^2 + 22164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×212652763203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7382337 + ... + 7385216.

Almost surely, 221265276320 is an apocalyptic number.

21265276320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21265276320 is an abundant number, since it is smaller than the sum of its proper divisors (51302484036).

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

21265276320 is a wasteful number, since it uses less digits than its factorization.

21265276320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14767574 (or 14767563 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 21265276320 in words is "twenty-one billion, two hundred sixty-five million, two hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14767553 29535106 44302659 59070212 73837765 88605318 118140424 132907977 147675530 177210636 221513295 236280848 265815954 295351060 354421272 443026590 472561696 531631908 590702120 664539885 708842544 886053180 1063263816 1181404240 1329079770 1417685088 1772106360 2126527632 2362808480 2658159540 3544212720 4253055264 5316319080 7088425440 10632638160 21265276320