Search a number
-
+
93366094080 = 2835747263281
BaseRepresentation
bin101011011110100001…
…1011000100100000000
322220222211210000010110
41112331003120210000
53012203210002310
6110520343231320
76513461463630
oct1267503304400
9286884700113
1093366094080
11366617a9426
1216118148540
138a5c30631c
144739da06c0
152666b37d20
hex15bd0d8900

93366094080 has 576 divisors, whose sum is σ = 350603624448. Its totient is φ = 20733296640.

The previous prime is 93366094067. The next prime is 93366094091. The reversal of 93366094080 is 8049066339.

It is a super-2 number, since 2×933660940802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332263540 + ... + 332263820.

It is an arithmetic number, because the mean of its divisors is an integer number (608686848).

Almost surely, 293366094080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93366094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301812224).

93366094080 is an abundant number, since it is smaller than the sum of its proper divisors (257237530368).

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

93366094080 is a wasteful number, since it uses less digits than its factorization.

93366094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 93366094080 in words is "ninety-three billion, three hundred sixty-six million, ninety-four thousand, eighty".