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5379010560 = 212325711379
BaseRepresentation
bin1010000001001110…
…10011000000000000
3111212212120001022100
411000213103000000
542004011314220
62245430510400
7250203556350
oct50047230000
914785501270
105379010560
112310347280
121061505400
136795315b1
14390560b60
15217370d90
hex1409d3000

5379010560 has 624 divisors, whose sum is σ = 23306999040. Its totient is φ = 1114767360.

The previous prime is 5379010547. The next prime is 5379010583. The reversal of 5379010560 is 650109735.

It is a happy number.

5379010560 is a `hidden beast` number, since 5 + 3 + 7 + 90 + 1 + 0 + 560 = 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 47 ways as a sum of consecutive naturals, for example, 14192451 + ... + 14192829.

It is an arithmetic number, because the mean of its divisors is an integer number (37350960).

Almost surely, 25379010560 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 5379010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11653499520).

5379010560 is an abundant number, since it is smaller than the sum of its proper divisors (17927988480).

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

5379010560 is a wasteful number, since it uses less digits than its factorization.

5379010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5379010560 is about 73341.7381850199. The cubic root of 5379010560 is about 1752.1345990292.

The spelling of 5379010560 in words is "five billion, three hundred seventy-nine million, ten thousand, five hundred sixty".