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5122965744 = 24331319411171
BaseRepresentation
bin1001100010101101…
…00100000011110000
3111020000202121212000
410301112210003300
540442434400434
62204202534000
7240644330121
oct46126440360
914200677760
105122965744
112199864a96
12bab807300
136384836a0
14368550048
151eeb45b99
hex1315a40f0

5122965744 has 320 divisors, whose sum is σ = 17090572800. Its totient is φ = 1455667200.

The previous prime is 5122965719. The next prime is 5122965761. The reversal of 5122965744 is 4475692215.

5122965744 is a `hidden beast` number, since 51 + 2 + 29 + 6 + 574 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5122965744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4374279 + ... + 4375449.

It is an arithmetic number, because the mean of its divisors is an integer number (53408040).

Almost surely, 25122965744 is an apocalyptic number.

5122965744 is a gapful number since it is divisible by the number (54) 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 5122965744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545286400).

5122965744 is an abundant number, since it is smaller than the sum of its proper divisors (11967607056).

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

5122965744 is a wasteful number, since it uses less digits than its factorization.

5122965744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 5122965744 is about 71574.8960460300. The cubic root of 5122965744 is about 1723.8804743407.

The spelling of 5122965744 in words is "five billion, one hundred twenty-two million, nine hundred sixty-five thousand, seven hundred forty-four".