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93782318049 = 337716988771
BaseRepresentation
bin101011101010111011…
…1001001101111100001
322222001211222101002000
41113111313021233201
53014031233134144
6111025532314213
76530004356610
oct1272567115741
9288054871060
1093782318049
1136855745682
1216213612969
138ac76083b4
144779389877
15268d453769
hex15d5dc9be1

93782318049 has 32 divisors (see below), whose sum is σ = 161021306880. Its totient is φ = 52835101200.

The previous prime is 93782318041. The next prime is 93782318053. The reversal of 93782318049 is 94081328739.

It is not a de Polignac number, because 93782318049 - 23 = 93782318041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 93782317986 and 93782318004.

It is not an unprimeable number, because it can be changed into a prime (93782318041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3480967 + ... + 3507804.

It is an arithmetic number, because the mean of its divisors is an integer number (5031915840).

Almost surely, 293782318049 is an apocalyptic number.

It is an amenable number.

93782318049 is a deficient number, since it is larger than the sum of its proper divisors (67238988831).

93782318049 is a wasteful number, since it uses less digits than its factorization.

93782318049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988858 (or 6988852 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 93782318049 in words is "ninety-three billion, seven hundred eighty-two million, three hundred eighteen thousand, forty-nine".

Divisors: 1 3 7 9 21 27 63 71 189 213 497 639 1491 1917 4473 13419 6988771 20966313 48921397 62898939 146764191 188696817 440292573 496202741 1320877719 1488608223 3473419187 4465824669 10420257561 13397474007 31260772683 93782318049