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9131235840 = 293351719409
BaseRepresentation
bin10001000000100001…
…11001101000000000
3212120101000211202000
420200100321220000
5122200044021330
64110030024000
7442165136556
oct104020715000
925511024660
109131235840
113966387701
12192a048000
13b26a0c43c
14628a17bd6
153869a1560
hex220439a00

9131235840 has 640 divisors, whose sum is σ = 36238752000. Its totient is φ = 2165833728.

The previous prime is 9131235791. The next prime is 9131235863. The reversal of 9131235840 is 485321319.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 9131235795 and 9131235804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22325556 + ... + 22325964.

It is an arithmetic number, because the mean of its divisors is an integer number (56623050).

Almost surely, 29131235840 is an apocalyptic number.

9131235840 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 9131235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119376000).

9131235840 is an abundant number, since it is smaller than the sum of its proper divisors (27107516160).

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

9131235840 is a wasteful number, since it uses less digits than its factorization.

9131235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9131235840 is about 95557.5001765952. The cubic root of 9131235840 is about 2090.1455024118.

The spelling of 9131235840 in words is "nine billion, one hundred thirty-one million, two hundred thirty-five thousand, eight hundred forty".