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9494923680 = 25355111492
BaseRepresentation
bin10001101011111000…
…10000100110100000
3220111201101002200000
420311330100212200
5123421200024210
64210101100000
7454202343144
oct106574204640
926451332600
109494923680
114032700770
121a0b9b7600
13b84178948
14661049224
153a8890ac0
hex235f109a0

9494923680 has 432 divisors, whose sum is σ = 36903825504. Its totient is φ = 2286351360.

The previous prime is 9494923679. The next prime is 9494923699. The reversal of 9494923680 is 863294949.

9494923680 is a `hidden beast` number, since 9 + 49 + 492 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63724246 + ... + 63724394.

It is an arithmetic number, because the mean of its divisors is an integer number (85425522).

Almost surely, 29494923680 is an apocalyptic number.

9494923680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9494923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451912752).

9494923680 is an abundant number, since it is smaller than the sum of its proper divisors (27408901824).

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

9494923680 is a wasteful number, since it uses less digits than its factorization.

9494923680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9494923680 is about 97441.8989962737. The cubic root of 9494923680 is about 2117.5344898986.

The spelling of 9494923680 in words is "nine billion, four hundred ninety-four million, nine hundred twenty-three thousand, six hundred eighty".