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9196231968 = 253571115359
BaseRepresentation
bin10001001000010001…
…10101110100100000
3212201220022222200000
420210020311310200
5122313213410333
64120311100000
7443614452630
oct104410656440
925656288600
109196231968
11399a040210
121947971600
13b373184a1
146334d66c0
1538c53e713
hex224235d20

9196231968 has 288 divisors, whose sum is σ = 33814609920. Its totient is φ = 2388476160.

The previous prime is 9196231943. The next prime is 9196232011. The reversal of 9196231968 is 8691326919.

9196231968 is a `hidden beast` number, since 9 + 1 + 9 + 623 + 1 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×91962319683 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591073 + ... + 606431.

It is an arithmetic number, because the mean of its divisors is an integer number (117411840).

Almost surely, 29196231968 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 9196231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16907304960).

9196231968 is an abundant number, since it is smaller than the sum of its proper divisors (24618377952).

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

9196231968 is a wasteful number, since it uses less digits than its factorization.

9196231968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15402 (or 15382 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9196231968 is about 95896.9862300166. The cubic root of 9196231968 is about 2095.0930000505.

The spelling of 9196231968 in words is "nine billion, one hundred ninety-six million, two hundred thirty-one thousand, nine hundred sixty-eight".