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23869014016 = 214172712
BaseRepresentation
bin10110001110101101…
…000100000000000000
32021121110202112201011
4112032231010000000
5342340431422031
614544255450304
71503332162101
oct261655040000
967543675634
1023869014016
11a139488571
124761826994
132335126b43
1412260a03a8
1594a76a6b1
hex58eb44000

23869014016 has 135 divisors (see below), whose sum is σ = 51434064997. Its totient is φ = 11074273280.

The previous prime is 23869013989. The next prime is 23869014031. The reversal of 23869014016 is 61041096832.

The square root of 23869014016 is 154496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18583142400 + 5285871616 = 136320^2 + 72704^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23869014016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 336183261 + ... + 336183331.

Almost surely, 223869014016 is an apocalyptic number.

23869014016 is the 154496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23869014016

23869014016 is an abundant number, since it is smaller than the sum of its proper divisors (27565050981).

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

23869014016 is an frugal number, since it uses more digits than its factorization.

23869014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 23869014016 in words is "twenty-three billion, eight hundred sixty-nine million, fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 256 272 284 289 512 544 568 578 1024 1088 1136 1156 1207 2048 2176 2272 2312 2414 4096 4352 4544 4624 4828 5041 8192 8704 9088 9248 9656 10082 16384 17408 18176 18496 19312 20164 20519 34816 36352 36992 38624 40328 41038 69632 72704 73984 77248 80656 82076 85697 139264 145408 147968 154496 161312 164152 171394 278528 290816 295936 308992 322624 328304 342788 581632 591872 617984 645248 656608 685576 1163264 1183744 1235968 1290496 1313216 1371152 1456849 2367488 2471936 2580992 2626432 2742304 2913698 4734976 4943872 5161984 5252864 5484608 5827396 9887744 10323968 10505728 10969216 11654792 19775488 20647936 21011456 21938432 23309584 41295872 42022912 43876864 46619168 82591744 84045824 87753728 93238336 168091648 175507456 186476672 336183296 351014912 372953344 702029824 745906688 1404059648 1491813376 2983626752 5967253504 11934507008 23869014016