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21939603624 = 2334291676991
BaseRepresentation
bin10100011011101100…
…111100100010101000
32002122000020100020000
4110123230330202220
5324413014303444
614025013503000
71404453360651
oct243354744250
962560210200
1021939603624
119339374a24
124303641a60
1320b84967a3
1410c1b3c528
1588619d469
hex51bb3c8a8

21939603624 has 160 divisors (see below), whose sum is σ = 63960019200. Its totient is φ = 7017736320.

The previous prime is 21939603617. The next prime is 21939603641. The reversal of 21939603624 is 42630693912.

21939603624 is a `hidden beast` number, since 2 + 1 + 9 + 39 + 603 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21939603624.

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 39 ways as a sum of consecutive naturals, for example, 3134769 + ... + 3141759.

It is an arithmetic number, because the mean of its divisors is an integer number (399750120).

Almost surely, 221939603624 is an apocalyptic number.

21939603624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21939603624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31980009600).

21939603624 is an abundant number, since it is smaller than the sum of its proper divisors (42020415576).

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

21939603624 is a wasteful number, since it uses less digits than its factorization.

21939603624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 21939603624 in words is "twenty-one billion, nine hundred thirty-nine million, six hundred three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 167 174 216 232 261 324 334 348 501 522 648 668 696 783 1002 1044 1336 1503 1566 2004 2088 2349 3006 3132 4008 4509 4698 4843 6012 6264 6991 9018 9396 9686 12024 13527 13982 14529 18036 18792 19372 20973 27054 27964 29058 36072 38744 41946 43587 54108 55928 58116 62919 83892 87174 108216 116232 125838 130761 167784 174348 188757 202739 251676 261522 348696 377514 392283 405478 503352 523044 566271 608217 755028 784566 810956 1046088 1132542 1167497 1216434 1510056 1569132 1621912 1824651 2265084 2334994 2432868 3138264 3502491 3649302 4530168 4669988 4865736 5473953 7004982 7298604 9339976 10507473 10947906 14009964 14597208 16421859 21014946 21895812 28019928 31522419 32843718 33857413 42029892 43791624 63044838 65687436 67714826 84059784 94567257 101572239 126089676 131374872 135429652 189134514 203144478 252179352 270859304 304716717 378269028 406288956 609433434 756538056 812577912 914150151 1218866868 1828300302 2437733736 2742450453 3656600604 5484900906 7313201208 10969801812 21939603624