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93108588769 = 72435912
BaseRepresentation
bin101011010110110110…
…1000101000011100001
322220022220020101020201
41112231231011003201
53011141244320034
6110435024105201
76504213642400
oct1265555050341
9286286211221
1093108588769
113653a409919
1216065a65201
138a1ab66711
144713acd637
15264e220014
hex15adb450e1

93108588769 has 9 divisors (see below), whose sum is σ = 108312475761. Its totient is φ = 79805530980.

The previous prime is 93108588767. The next prime is 93108588809. The reversal of 93108588769 is 96788580139.

The square root of 93108588769 is 305137.

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

It is not a de Polignac number, because 93108588769 - 21 = 93108588767 is a prime.

It is a super-2 number, since 2×931085887692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93108588769.

It is not an unprimeable number, because it can be changed into a prime (93108588761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2114164 + ... + 2157754.

It is an arithmetic number, because the mean of its divisors is an integer number (12034719529).

Almost surely, 293108588769 is an apocalyptic number.

93108588769 is the 305137-th square number.

93108588769 is the 152569-th centered octagonal number.

It is an amenable number.

93108588769 is a deficient number, since it is larger than the sum of its proper divisors (15203886992).

93108588769 is an frugal number, since it uses more digits than its factorization.

93108588769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87196 (or 43598 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 64.

Multiplying 93108588769 by its sum of digits (64), we get a square (5958949681216 = 24410962).

The spelling of 93108588769 in words is "ninety-three billion, one hundred eight million, five hundred eighty-eight thousand, seven hundred sixty-nine".

Divisors: 1 7 49 43591 305137 2135959 1900175281 13301226967 93108588769