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21616152644016 = 2432796892213293
BaseRepresentation
bin1001110101000111001110…
…00110011000100110110000
32211112111001211210022122200
410322203213012120212300
510313124340034102031
6113550153510103200
74360500261600360
oct472434706304660
984474054708580
1021616152644016
1169843a46a9aa7
12251143194ab00
13c0a5187a94a8
1454a327c929a0
152774445638e6
hex13a8e71989b0

21616152644016 has 120 divisors (see below), whose sum is σ = 69144544004640. Its totient is φ = 6175403394048.

The previous prime is 21616152643963. The next prime is 21616152644029. The reversal of 21616152644016 is 61044625161612.

21616152644016 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 615 + 26 + 4 + 4 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8659866 + ... + 10873158.

It is an arithmetic number, because the mean of its divisors is an integer number (576204533372).

Almost surely, 221616152644016 is an apocalyptic number.

It is an amenable number.

21616152644016 is an abundant number, since it is smaller than the sum of its proper divisors (47528391360624).

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

21616152644016 is a wasteful number, since it uses less digits than its factorization.

21616152644016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223003 (or 2222994 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21616152644016 in words is "twenty-one trillion, six hundred sixteen billion, one hundred fifty-two million, six hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 9689 19378 29067 38756 58134 67823 77512 87201 116268 135646 155024 174402 203469 232536 271292 348804 406938 465072 542584 610407 697608 813876 1085168 1220814 1395216 1627752 2213293 2441628 3255504 4426586 4883256 6639879 8853172 9766512 13279758 15493051 17706344 19919637 26559516 30986102 35412688 39839274 46479153 53119032 61972204 79678548 92958306 106238064 123944408 139437459 159357096 185916612 247888816 278874918 318714192 371833224 557749836 743666448 1115499672 2230999344 21444595877 42889191754 64333787631 85778383508 128667575262 150112171139 171556767016 193001362893 257335150524 300224342278 343113534032 386002725786 450336513417 514670301048 600448684556 772005451572 900673026834 1029340602096 1200897369112 1351009540251 1544010903144 1801346053668 2401794738224 2702019080502 3088021806288 3602692107336 5404038161004 7205384214672 10808076322008 21616152644016