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93138307506 = 23240122815657
BaseRepresentation
bin101011010111101111…
…0011100100110110010
322220101222011020200200
41112233132130212302
53011221401320011
6110442005100030
76505024360056
oct1265736344662
9286358136620
1093138307506
1136555167a62
12160739b7616
138a2407067a
144717a27c66
152651b40856
hex15af79c9b2

93138307506 has 48 divisors (see below), whose sum is σ = 202427374968. Its totient is φ = 30949632000.

The previous prime is 93138307501. The next prime is 93138307519. The reversal of 93138307506 is 60570383139.

93138307506 is a `hidden beast` number, since 9 + 3 + 138 + 3 + 0 + 7 + 506 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88253555625 + 4884751881 = 297075^2 + 69891^2 .

It is not an unprimeable number, because it can be changed into a prime (93138307501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16461430 + ... + 16467086.

Almost surely, 293138307506 is an apocalyptic number.

93138307506 is an abundant number, since it is smaller than the sum of its proper divisors (109289067462).

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

93138307506 is a wasteful number, since it uses less digits than its factorization.

93138307506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 93138307506 in words is "ninety-three billion, one hundred thirty-eight million, three hundred seven thousand, five hundred six".

Divisors: 1 2 3 6 9 18 401 802 1203 2281 2406 3609 4562 5657 6843 7218 11314 13686 16971 20529 33942 41058 50913 101826 914681 1829362 2268457 2744043 4536914 5488086 6805371 8232129 12903617 13610742 16464258 20416113 25807234 38710851 40832226 77421702 116132553 232265106 5174350417 10348700834 15523051251 31046102502 46569153753 93138307506