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93814212755076 = 223112197910923623
BaseRepresentation
bin10101010101001011010010…
…110100110111111010000100
3110022011112212210022001120020
4111111023102310313322010
544244023001431130301
6531305353202135140
725521565435122552
oct2525132264677204
9408145783261506
1093814212755076
112798a425406900
12a6319a60514b0
1340468471a7a38
1419248bc79abd2
15aca4ca01e436
hex5552d2d37e84

93814212755076 has 432 divisors, whose sum is σ = 258924560025600. Its totient is φ = 26340164547840.

The previous prime is 93814212755041. The next prime is 93814212755089. The reversal of 93814212755076 is 67055721241839.

93814212755076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×938142127550762 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25894067401 + ... + 25894071023.

It is a 1-persistent number, because it is pandigital, but 2⋅93814212755076 = 187628425510152 is not.

Almost surely, 293814212755076 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 93814212755076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129462280012800).

93814212755076 is an abundant number, since it is smaller than the sum of its proper divisors (165110347270524).

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

93814212755076 is a wasteful number, since it uses less digits than its factorization.

93814212755076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 93814212755076 in words is "ninety-three trillion, eight hundred fourteen billion, two hundred twelve million, seven hundred fifty-five thousand, seventy-six".