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93105474993 = 3237359778819
BaseRepresentation
bin101011010110110000…
…1001100110110110001
322220022200101011221200
41112231201030312301
53011140000144433
6110434433241413
76504145323336
oct1265541146661
9286280334850
1093105474993
1136538682453
1216064a03269
138a1a31634b
14471351c98d
15264dd07613
hex15ad84cdb1

93105474993 has 24 divisors (see below), whose sum is σ = 138505348800. Its totient is φ = 60224438304.

The previous prime is 93105474961. The next prime is 93105474997. The reversal of 93105474993 is 39947450139.

It is a happy number.

93105474993 is a `hidden beast` number, since 9 + 3 + 1 + 0 + 547 + 4 + 9 + 93 = 666.

It is not a de Polignac number, because 93105474993 - 25 = 93105474961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93105474997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269863 + ... + 508956.

It is an arithmetic number, because the mean of its divisors is an integer number (5771056200).

Almost surely, 293105474993 is an apocalyptic number.

It is an amenable number.

93105474993 is a deficient number, since it is larger than the sum of its proper divisors (45399873807).

93105474993 is a wasteful number, since it uses less digits than its factorization.

93105474993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779221 (or 779218 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 93105474993 in words is "ninety-three billion, one hundred five million, four hundred seventy-four thousand, nine hundred ninety-three".

Divisors: 1 3 9 37 111 333 359 1077 3231 13283 39849 119547 778819 2336457 7009371 28816303 86448909 259346727 279596021 838788063 2516364189 10345052777 31035158331 93105474993