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21170832004 = 22721925472
BaseRepresentation
bin10011101101111000…
…010100001010000100
32000122102122200211001
4103231320110022010
5321324213111004
613420432223044
71346430050200
oct235570241204
960572580731
1021170832004
118a84423483
12412a09aa84
131cc5128a3a
14104b9c1b00
1583d9441a4
hex4ede14284

21170832004 has 81 divisors (see below), whose sum is σ = 45568759383. Its totient is φ = 8579961936.

The previous prime is 21170831971. The next prime is 21170832041. The reversal of 21170832004 is 40023807112.

The square root of 21170832004 is 145502.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38703259 + ... + 38703805.

Almost surely, 221170832004 is an apocalyptic number.

21170832004 is the 145502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21170832004

21170832004 is an abundant number, since it is smaller than the sum of its proper divisors (24397927379).

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

21170832004 is an equidigital number, since it uses as much as digits as its factorization.

21170832004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 21170832004 in words is "twenty-one billion, one hundred seventy million, eight hundred thirty-two thousand, four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 547 722 931 1094 1444 1862 2188 2527 3724 3829 5054 7658 10108 10393 15316 17689 20786 26803 35378 41572 53606 70756 72751 107212 145502 197467 291004 299209 394934 509257 598418 789868 1018514 1196836 1382269 2037028 2094463 2764538 4188926 5529076 5684971 8377852 9675883 11369942 14661241 19351766 22739884 29322482 38703532 39794797 58644964 79589594 108014449 159179188 216028898 278563579 432057796 557127158 756101143 1114254316 1512202286 3024404572 5292708001 10585416002 21170832004