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5325914880 = 2832511135361
BaseRepresentation
bin1001111010111001…
…10000001100000000
3111202011122111201200
410331130300030000
541401413234010
62240252501200
7245660346426
oct47534601400
914664574650
105325914880
112293381750
12104777a800
1366b531130
1438749d116
15212883cc0
hex13d730300

5325914880 has 864 divisors, whose sum is σ = 22418690112. Its totient is φ = 1150156800.

The previous prime is 5325914863. The next prime is 5325914903. The reversal of 5325914880 is 884195235.

5325914880 is a `hidden beast` number, since 53 + 2 + 591 + 4 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 87310050 + ... + 87310110.

It is an arithmetic number, because the mean of its divisors is an integer number (25947558).

Almost surely, 25325914880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5325914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209345056).

5325914880 is an abundant number, since it is smaller than the sum of its proper divisors (17092775232).

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

5325914880 is a wasteful number, since it uses less digits than its factorization.

5325914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5325914880 is about 72978.8659818718. The cubic root of 5325914880 is about 1746.3504765984.

The spelling of 5325914880 in words is "five billion, three hundred twenty-five million, nine hundred fourteen thousand, eight hundred eighty".