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14990567328 = 25321131152641
BaseRepresentation
bin11011111011000000…
…11110011110100000
31102200201101201111100
431331200132132200
5221200041123303
610515255514400
71040323501632
oct157540363640
942621351440
1014990567328
1163a286a120
122aa4388a00
13154b8c57a9
14a22c8aa52
155cb09e8a3
hex37d81e7a0

14990567328 has 144 divisors (see below), whose sum is σ = 48005298432. Its totient is φ = 4396032000.

The previous prime is 14990567323. The next prime is 14990567381. The reversal of 14990567328 is 82376509941.

14990567328 is a `hidden beast` number, since 1 + 49 + 9 + 0 + 567 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (14990567323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21888 + ... + 174528.

It is an arithmetic number, because the mean of its divisors is an integer number (333370128).

It is a 1-persistent number, because it is pandigital, but 2⋅14990567328 = 29981134656 is not.

Almost surely, 214990567328 is an apocalyptic number.

14990567328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14990567328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24002649216).

14990567328 is an abundant number, since it is smaller than the sum of its proper divisors (33014731104).

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

14990567328 is a wasteful number, since it uses less digits than its factorization.

14990567328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152699 (or 152688 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 14990567328 in words is "fourteen billion, nine hundred ninety million, five hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 49104 98208 152641 305282 457923 610564 915846 1221128 1373769 1679051 1831692 2442256 2747538 3358102 3663384 4731871 4884512 5037153 5495076 6716204 7326768 9463742 10074306 10990152 13432408 14195613 14653536 15111459 18927484 20148612 21980304 26864816 28391226 30222918 37854968 40297224 42586839 43960608 52050581 53729632 56782452 60445836 75709936 80594448 85173678 104101162 113564904 120891672 151419872 156151743 161188896 170347356 208202324 227129808 241783344 312303486 340694712 416404648 454259616 468455229 483566688 624606972 681389424 832809296 936910458 1249213944 1362778848 1665618592 1873820916 2498427888 3747641832 4996855776 7495283664 14990567328