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21404410632 = 233211191422409
BaseRepresentation
bin10011111011110011…
…010110001100001000
32001020201011201110100
4103323303112030020
5322314012120012
613455534445400
71355264326353
oct237363261410
961221151410
1021404410632
119094260570
124194363860
13203163bb47
141070a2529a
158541d28dc
hex4fbcd6308

21404410632 has 96 divisors (see below), whose sum is σ = 66568788000. Its totient is φ = 6144802560.

The previous prime is 21404410631. The next prime is 21404410633. The reversal of 21404410632 is 23601440412.

It is a happy number.

21404410632 is a `hidden beast` number, since 2 + 14 + 0 + 4 + 4 + 10 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (21404410631) and next prime (21404410633).

It is a junction number, because it is equal to n+sod(n) for n = 21404410596 and 21404410605.

It is not an unprimeable number, because it can be changed into a prime (21404410631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696157 + ... + 726252.

It is an arithmetic number, because the mean of its divisors is an integer number (693424875).

Almost surely, 221404410632 is an apocalyptic number.

21404410632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21404410632 is an abundant number, since it is smaller than the sum of its proper divisors (45164377368).

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

21404410632 is a wasteful number, since it uses less digits than its factorization.

21404410632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422451 (or 1422444 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

It can be divided in two parts, 214044 and 10632, that added together give a square (224676 = 4742).

The spelling of 21404410632 in words is "twenty-one billion, four hundred four million, four hundred ten thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 1422409 2844818 4267227 5689636 8534454 11379272 12801681 15646499 17068908 25603362 27025771 31292998 34137816 46939497 51206724 54051542 62585996 81077313 93878994 102413448 108103084 125171992 140818491 162154626 187757988 216206168 243231939 281636982 297283481 324309252 375515976 486463878 563273964 594566962 648618504 891850443 972927756 1126547928 1189133924 1783700886 1945855512 2378267848 2675551329 3567401772 5351102658 7134803544 10702205316 21404410632