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5195625120 = 25345757271
BaseRepresentation
bin1001101011010111…
…01111001010100000
3111102002111002210000
410311223233022200
541120040000440
62215320140000
7242516041050
oct46553571240
914362432700
105195625120
112226882064
121010007600
1364a5437ba
14374065560
152061e9730
hex135aef2a0

5195625120 has 240 divisors, whose sum is σ = 20956053888. Its totient is φ = 1187550720.

The previous prime is 5195625109. The next prime is 5195625121. The reversal of 5195625120 is 215265915.

5195625120 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 625 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (5195625121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 62085 + ... + 119355.

Almost surely, 25195625120 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 5195625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478026944).

5195625120 is an abundant number, since it is smaller than the sum of its proper divisors (15760428768).

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

5195625120 is a wasteful number, since it uses less digits than its factorization.

5195625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57305 (or 57288 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5195625120 is about 72080.6847914197. The cubic root of 5195625120 is about 1731.9922163973.

The spelling of 5195625120 in words is "five billion, one hundred ninety-five million, six hundred twenty-five thousand, one hundred twenty".