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21689403468432 = 2437431738677483
BaseRepresentation
bin1001110111001111101010…
…01100000110101010010000
32211210111010211010202021120
410323213311030012222100
510320324344241442212
6114043550245322240
74366002431410260
oct473476514065220
984714124122246
1021689403468432
116a024738a8617
122523675406380
13c143c057908b
1454dab65237a0
152792d026188c
hex13b9f5306a90

21689403468432 has 160 divisors (see below), whose sum is σ = 65903338963968. Its totient is φ = 6017868476928.

The previous prime is 21689403468407. The next prime is 21689403468443. The reversal of 21689403468432 is 23486430498612.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1839238 + ... + 6838245.

Almost surely, 221689403468432 is an apocalyptic number.

It is an amenable number.

21689403468432 is an abundant number, since it is smaller than the sum of its proper divisors (44213935495536).

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

21689403468432 is a wasteful number, since it uses less digits than its factorization.

21689403468432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8677717 (or 8677711 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 21689403468432 in words is "twenty-one trillion, six hundred eighty-nine billion, four hundred three million, four hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 173 258 301 336 344 346 516 519 602 688 692 903 1032 1038 1204 1211 1384 1806 2064 2076 2408 2422 2768 3612 3633 4152 4816 4844 7224 7266 7439 8304 9688 14448 14532 14878 19376 22317 29064 29756 44634 52073 58128 59512 89268 104146 119024 156219 178536 208292 312438 357072 416584 624876 833168 1249752 2499504 8677483 17354966 26032449 34709932 52064898 60742381 69419864 104129796 121484762 138839728 182227143 208259592 242969524 364454286 373131769 416519184 485939048 728908572 746263538 971878096 1119395307 1457817144 1492527076 1501204559 2238790614 2611922383 2915634288 2985054152 3002409118 4477581228 4503613677 5223844766 5970108304 6004818236 7835767149 8955162456 9007227354 10447689532 10508431913 12009636472 15671534298 17910324912 18014454708 20895379064 21016863826 24019272944 31343068596 31525295739 36028909416 41790758128 42033727652 62686137192 63050591478 64551796037 72057818832 84067455304 125372274384 126101182956 129103592074 168134910608 193655388111 252202365912 258207184148 387310776222 451862572259 504404731824 516414368296 774621552444 903725144518 1032828736592 1355587716777 1549243104888 1807450289036 2711175433554 3098486209776 3614900578072 5422350867108 7229801156144 10844701734216 21689403468432