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93953192424 = 233713296592251
BaseRepresentation
bin101011110000000001…
…0111111000111101000
322222111202111200122120
41113200002333013220
53014404004124144
6111054514551240
76534150646620
oct1274002770750
9288452450576
1093953192424
1136933145073
1216260898520
138b23b356b0
144793d49880
15269d457e19
hex15e00bf1e8

93953192424 has 256 divisors, whose sum is σ = 299642112000. Its totient is φ = 23877504000.

The previous prime is 93953192423. The next prime is 93953192441. The reversal of 93953192424 is 42429135939.

It is a super-2 number, since 2×939531924242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (93953192423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41737299 + ... + 41739549.

It is an arithmetic number, because the mean of its divisors is an integer number (1170477000).

Almost surely, 293953192424 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 93953192424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149821056000).

93953192424 is an abundant number, since it is smaller than the sum of its proper divisors (205688919576).

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

93953192424 is a wasteful number, since it uses less digits than its factorization.

93953192424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2964 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The spelling of 93953192424 in words is "ninety-three billion, nine hundred fifty-three million, one hundred ninety-two thousand, four hundred twenty-four".