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93768021728 = 25171171147197
BaseRepresentation
bin101011101010100000…
…0100111011011100000
322222000212002001012122
41113111000213123200
53014014103143403
6111024302043412
76526442014433
oct1272500473340
9288025061178
1093768021728
1136848670637
121620a879568
138ac4671134
14477750781a
15268c07c838
hex15d50276e0

93768021728 has 48 divisors (see below), whose sum is σ = 195633207504. Its totient is φ = 44088145920.

The previous prime is 93768021727. The next prime is 93768021749. The reversal of 93768021728 is 82712086739.

It is a self number, because there is not a number n which added to its sum of digits gives 93768021728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93768021727) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 563426 + ... + 710622.

It is an arithmetic number, because the mean of its divisors is an integer number (4075691823).

Almost surely, 293768021728 is an apocalyptic number.

It is an amenable number.

93768021728 is an abundant number, since it is smaller than the sum of its proper divisors (101865185776).

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

93768021728 is a wasteful number, since it uses less digits than its factorization.

93768021728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148395 (or 148387 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 93768021728 in words is "ninety-three billion, seven hundred sixty-eight million, twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1171 2342 4684 9368 18736 19907 37472 39814 79628 147197 159256 294394 318512 588788 637024 1177576 2355152 2502349 4710304 5004698 10009396 20018792 40037584 80075168 172367687 344735374 689470748 1378941496 2757882992 2930250679 5515765984 5860501358 11721002716 23442005432 46884010864 93768021728