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5232460464 = 24337111719487
BaseRepresentation
bin1001101111110000…
…10000001010110000
3111111122210112101000
410313320100022300
541204002213324
62223113442000
7243444115530
oct46770201260
914448715330
105232460464
112245650aa0
121020410300
1365506ca6a
14378cd34c0
152095739c9
hex137e102b0

5232460464 has 640 divisors, whose sum is σ = 20912947200. Its totient is φ = 1209323520.

The previous prime is 5232460423. The next prime is 5232460477. The reversal of 5232460464 is 4640642325.

5232460464 is a `hidden beast` number, since 5 + 23 + 24 + 604 + 6 + 4 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10744029 + ... + 10744515.

It is an arithmetic number, because the mean of its divisors is an integer number (32676480).

Almost surely, 25232460464 is an apocalyptic number.

5232460464 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 5232460464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456473600).

5232460464 is an abundant number, since it is smaller than the sum of its proper divisors (15680486736).

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

5232460464 is a wasteful number, since it uses less digits than its factorization.

5232460464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5232460464 is about 72335.7481747441. The cubic root of 5232460464 is about 1736.0756743188.

The spelling of 5232460464 in words is "five billion, two hundred thirty-two million, four hundred sixty thousand, four hundred sixty-four".