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21332421418152 = 233131931116083439
BaseRepresentation
bin1001101100110110101110…
…11001101001110010101000
32210112100201010102122111210
410312123113121221302220
510244002244340340102
6113211551253153120
74331134201142265
oct466332731516250
983470633378453
1021332421418152
116885035834589
12248644892b7a0
13bb983c31a970
1453a6cd68826c
1526ed8a28c36c
hex1366d7669ca8

21332421418152 has 128 divisors (see below), whose sum is σ = 62406457344000. Its totient is φ = 6017765425920.

The previous prime is 21332421418151. The next prime is 21332421418193. The reversal of 21332421418152 is 25181412423312.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 21332421418152.

It is not an unprimeable number, because it can be changed into a prime (21332421418151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57857952 + ... + 58225487.

It is an arithmetic number, because the mean of its divisors is an integer number (487550448000).

Almost surely, 221332421418152 is an apocalyptic number.

It is an amenable number.

21332421418152 is an abundant number, since it is smaller than the sum of its proper divisors (41074035925848).

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

21332421418152 is a wasteful number, since it uses less digits than its factorization.

21332421418152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116083511 (or 116083507 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The spelling of 21332421418152 in words is "twenty-one trillion, three hundred thirty-two billion, four hundred twenty-one million, four hundred eighteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 62 76 78 93 104 114 124 152 156 186 228 247 248 312 372 403 456 494 589 741 744 806 988 1178 1209 1482 1612 1767 1976 2356 2418 2964 3224 3534 4712 4836 5928 7068 7657 9672 14136 15314 22971 30628 45942 61256 91884 183768 116083439 232166878 348250317 464333756 696500634 928667512 1393001268 1509084707 2205585341 2786002536 3018169414 3598586609 4411170682 4527254121 6036338828 6616756023 7197173218 8822341364 9054508242 10795759827 12072677656 13233512046 14394346436 17644682728 18109016484 21591519654 26467024092 28672609433 28788692872 36218032968 43183039308 46781625917 52934048184 57345218866 68373145571 86017828299 86366078616 93563251834 114690437732 136746291142 140344877751 172035656598 187126503668 205119436713 229380875464 273492582284 280689755502 344071313196 374253007336 410238873426 546985164568 561379511004 688142626392 820477746852 888850892423 1122759022008 1640955493704 1777701784846 2666552677269 3555403569692 5333105354538 7110807139384 10666210709076 21332421418152