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21730835616 = 2537171902209
BaseRepresentation
bin10100001111010000…
…100011110010100000
32002002110101211100120
4110033100203302200
5324001043214431
613552155120240
71366340024610
oct241720436240
962073354316
1021730835616
119241543486
124265743080
13208415c619
1410a2116a40
15872bb1196
hex50f423ca0

21730835616 has 96 divisors (see below), whose sum is σ = 69027396480. Its totient is φ = 5843582976.

The previous prime is 21730835603. The next prime is 21730835641. The reversal of 21730835616 is 61653803712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×217308356162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939681 + ... + 962528.

It is an arithmetic number, because the mean of its divisors is an integer number (719035380).

Almost surely, 221730835616 is an apocalyptic number.

It is an amenable number.

21730835616 is an abundant number, since it is smaller than the sum of its proper divisors (47296560864).

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

21730835616 is a wasteful number, since it uses less digits than its factorization.

21730835616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902246 (or 1902238 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 21730835616 in words is "twenty-one billion, seven hundred thirty million, eight hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 1902209 3804418 5706627 7608836 11413254 13315463 15217672 22826508 26630926 30435344 32337553 39946389 45653016 53261852 60870688 64675106 79892778 91306032 97012659 106523704 129350212 159785556 182612064 194025318 213047408 226362871 258700424 319571112 388050636 426094816 452725742 517400848 639142224 679088613 776101272 905451484 1034801696 1278284448 1358177226 1552202544 1810902968 2716354452 3104405088 3621805936 5432708904 7243611872 10865417808 21730835616