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93970450116 = 223219226892
BaseRepresentation
bin101011110000100010…
…0110100011011000100
322222112221222110202100
41113201010310123010
53014422413400431
6111100332512100
76534450434604
oct1274104643304
9288487873670
1093970450116
1136941962024
121626661b630
138b2759884a
14479635cc04
15269ec164e6
hex15e11346c4

93970450116 has 81 divisors (see below), whose sum is σ = 250789592781. Its totient is φ = 29663843328.

The previous prime is 93970450103. The next prime is 93970450141. The reversal of 93970450116 is 61105407939.

The square root of 93970450116 is 306546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3393528516 + 90576921600 = 58254^2 + 300960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34944900 + ... + 34947588.

Almost surely, 293970450116 is an apocalyptic number.

93970450116 is the 306546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93970450116

93970450116 is an abundant number, since it is smaller than the sum of its proper divisors (156819142665).

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

93970450116 is a wasteful number, since it uses less digits than its factorization.

93970450116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 93970450116 in words is "ninety-three billion, nine hundred seventy million, four hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2689 3249 4332 5378 6498 8067 10756 12996 16134 24201 32268 48402 51091 96804 102182 153273 204364 306546 459819 613092 919638 970729 1839276 1941458 2912187 3882916 5824374 7230721 8736561 11648748 14461442 17473122 21692163 28922884 34946244 43384326 65076489 86768652 130152978 137383699 260305956 274767398 412151097 549534796 824302194 1236453291 1648604388 2472906582 2610290281 4945813164 5220580562 7830870843 10441161124 15661741686 23492612529 31323483372 46985225058 93970450116