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5823231264 = 253419235397
BaseRepresentation
bin1010110110001011…
…10111010100100000
3120000211102210120000
411123011313110200
543411221400024
62401500020000
7264206435424
oct53305672440
916024383500
105823231264
112519075924
121166231600
1371a586896
143d3556b84
1524136bcc9
hex15b177520

5823231264 has 480 divisors, whose sum is σ = 19363639680. Its totient is φ = 1707982848.

The previous prime is 5823231263. The next prime is 5823231277. The reversal of 5823231264 is 4621323285.

5823231264 is a `hidden beast` number, since 58 + 232 + 312 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5823231263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60033264 + ... + 60033360.

It is an arithmetic number, because the mean of its divisors is an integer number (40340916).

Almost surely, 25823231264 is an apocalyptic number.

5823231264 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 5823231264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681819840).

5823231264 is an abundant number, since it is smaller than the sum of its proper divisors (13540408416).

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

5823231264 is a wasteful number, since it uses less digits than its factorization.

5823231264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5823231264 is about 76310.0993578176. The cubic root of 5823231264 is about 1799.0974141528.

The spelling of 5823231264 in words is "five billion, eight hundred twenty-three million, two hundred thirty-one thousand, two hundred sixty-four".