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913324131720 = 233257112131132039
BaseRepresentation
bin11010100101001100101…
…11000100010110001000
310020022110010111002211100
431102212113010112020
5104430441434203340
61535324133501400
7122662011012420
oct15224627042610
93208403432740
10913324131720
1132237a731200
121290124a1860
1368184057810
14322c2c07480
1518b57157830
hexd4a65c4588

913324131720 has 1152 divisors, whose sum is σ = 4053130099200. Its totient is φ = 173547601920.

The previous prime is 913324131719. The next prime is 913324131737. The reversal of 913324131720 is 27131423319.

913324131720 is a `hidden beast` number, since 9 + 1 + 332 + 4 + 1 + 317 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 447926461 + ... + 447928499.

It is an arithmetic number, because the mean of its divisors is an integer number (3518342100).

Almost surely, 2913324131720 is an apocalyptic number.

913324131720 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 913324131720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026565049600).

913324131720 is an abundant number, since it is smaller than the sum of its proper divisors (3139805967480).

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

913324131720 is a wasteful number, since it uses less digits than its factorization.

913324131720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 913324131720 in words is "nine hundred thirteen billion, three hundred twenty-four million, one hundred thirty-one thousand, seven hundred twenty".