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93027440016 = 24327236312
BaseRepresentation
bin101011010100011011…
…1100001010110010000
322220010020112121002100
41112220313201112100
53011010011040031
6110423004520400
76502210123200
oct1265067412620
9286106477070
1093027440016
11364a8623635
1216042850100
138a070c34c4
144707008400
152647040de6
hex15a8de1590

93027440016 has 135 divisors (see below), whose sum is σ = 302936793003. Its totient is φ = 26571948480.

The previous prime is 93027439993. The next prime is 93027440047. The reversal of 93027440016 is 61004472039.

The square root of 93027440016 is 305004.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25618521 + ... + 25622151.

Almost surely, 293027440016 is an apocalyptic number.

93027440016 is the 305004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93027440016

93027440016 is an abundant number, since it is smaller than the sum of its proper divisors (209909352987).

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

93027440016 is an equidigital number, since it uses as much as digits as its factorization.

93027440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 93027440016 by its sum of digits (36), we get a square (3348987840576 = 18300242).

93027440016 divided by its sum of digits (36) gives a square (2584095556 = 508342).

The spelling of 93027440016 in words is "ninety-three billion, twenty-seven million, four hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 3631 7056 7262 10893 14524 21786 25417 29048 32679 43572 50834 58096 65358 76251 87144 101668 130716 152502 174288 177919 203336 228753 261432 305004 355838 406672 457506 522864 533757 610008 711676 915012 1067514 1220016 1423352 1601271 1830024 2135028 2846704 3202542 3660048 4270056 6405084 8540112 12810168 13184161 25620336 26368322 39552483 52736644 79104966 92289127 105473288 118657449 158209932 184578254 210946576 237314898 276867381 316419864 369156508 474629796 553734762 632839728 646023889 738313016 830602143 949259592 1107469524 1292047778 1476626032 1661204286 1898519184 1938071667 2214939048 2584095556 3322408572 3876143334 4429878096 5168191112 5814215001 6644817144 7752286668 10336382224 11628430002 13289634288 15504573336 23256860004 31009146672 46513720008 93027440016