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93376703125 = 56613132
BaseRepresentation
bin101011011110110101…
…1110110101010010101
322221000120202000000001
41112331223312222111
53012213414000000
6110521402451301
76513650611036
oct1267553665225
9287016660001
1093376703125
1136667795132
121611b803b31
138a6157c174
14473b562a8d
152667a3146a
hex15bdaf6a95

93376703125 has 42 divisors (see below), whose sum is σ = 119013046926. Its totient is φ = 73242000000.

The previous prime is 93376703107. The next prime is 93376703171. The reversal of 93376703125 is 52130767339.

It can be written as a sum of positive squares in 21 ways, for example, as 5944718404 + 87431984721 = 77102^2 + 295689^2 .

It is not a de Polignac number, because 93376703125 - 217 = 93376572053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298327969 + ... + 298328281.

Almost surely, 293376703125 is an apocalyptic number.

It is an amenable number.

93376703125 is a deficient number, since it is larger than the sum of its proper divisors (25636343801).

93376703125 is an frugal number, since it uses more digits than its factorization.

93376703125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 46.

The spelling of 93376703125 in words is "ninety-three billion, three hundred seventy-six million, seven hundred three thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 305 313 625 1525 1565 3125 7625 7825 15625 19093 38125 39125 95465 97969 190625 195625 477325 489845 953125 978125 2386625 2449225 4890625 5976109 11933125 12246125 29880545 59665625 61230625 149402725 298328125 306153125 747013625 1530765625 3735068125 18675340625 93376703125