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9131924340 = 223357111712919
BaseRepresentation
bin10001000000100111…
…00001101101110100
3212120102022211012000
420200103201231310
5122200233034330
64110052455300
7442204035060
oct104023415564
925512284160
109131924340
113966807a10
12192a31a530
13b26bc0936
14628b56aa0
15386a8a560
hex2204e1b74

9131924340 has 384 divisors, whose sum is σ = 37507276800. Its totient is φ = 1785784320.

The previous prime is 9131924339. The next prime is 9131924369. The reversal of 9131924340 is 434291319.

9131924340 is a `hidden beast` number, since 9 + 131 + 92 + 434 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9131924295 and 9131924304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 700401 + ... + 713319.

It is an arithmetic number, because the mean of its divisors is an integer number (97675200).

Almost surely, 29131924340 is an apocalyptic number.

9131924340 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 9131924340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753638400).

9131924340 is an abundant number, since it is smaller than the sum of its proper divisors (28375352460).

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

9131924340 is a wasteful number, since it uses less digits than its factorization.

9131924340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12964 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9131924340 is about 95561.1026516542. The cubic root of 9131924340 is about 2090.1980337827.

The spelling of 9131924340 in words is "nine billion, one hundred thirty-one million, nine hundred twenty-four thousand, three hundred forty".