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93420251172 = 223223311137369
BaseRepresentation
bin101011100000001000…
…1111110100000100100
322221010121200110200200
41113000101332200210
53012311041014142
6110530000110500
76515020014213
oct1270021764044
9287117613620
1093420251172
113668a329456
1216132305430
138a6a5b8941
14474325b07a
15266b78464c
hex15c047e824

93420251172 has 36 divisors (see below), whose sum is σ = 237159156780. Its totient is φ = 31006432512.

The previous prime is 93420251153. The next prime is 93420251191. The reversal of 93420251172 is 27115202439.

It is an interprime number because it is at equal distance from previous prime (93420251153) and next prime (93420251191).

It can be written as a sum of positive squares in 2 ways, for example, as 6503777316 + 86916473856 = 80646^2 + 294816^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5560297 + ... + 5577072.

It is an arithmetic number, because the mean of its divisors is an integer number (6587754355).

Almost surely, 293420251172 is an apocalyptic number.

It is an amenable number.

93420251172 is an abundant number, since it is smaller than the sum of its proper divisors (143738905608).

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

93420251172 is a wasteful number, since it uses less digits than its factorization.

93420251172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137612 (or 11137607 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 93420251172 in words is "ninety-three billion, four hundred twenty million, two hundred fifty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 11137369 22274738 33412107 44549476 66824214 100236321 133648428 200472642 400945284 2595006977 5190013954 7785020931 10380027908 15570041862 23355062793 31140083724 46710125586 93420251172