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5087759040 = 26355713719
BaseRepresentation
bin1001011110100000…
…10000101011000000
3111010120111221100000
410233100100223000
540404431242130
62200504200000
7240036144510
oct45720205300
914116457300
105087759040
1121809a8741
12b9ba69000
136310a7810
143639c7840
151eb9de260
hex12f410ac0

5087759040 has 672 divisors, whose sum is σ = 22366955520. Its totient is φ = 1071968256.

The previous prime is 5087758969. The next prime is 5087759059. The reversal of 5087759040 is 409577805.

5087759040 is a `hidden beast` number, since 50 + 8 + 7 + 7 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7075801 + ... + 7076519.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 25087759040 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 5087759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183477760).

5087759040 is an abundant number, since it is smaller than the sum of its proper divisors (17279196480).

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

5087759040 is a wasteful number, since it uses less digits than its factorization.

5087759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5087759040 is about 71328.5289347818. The cubic root of 5087759040 is about 1719.9223689498.

The spelling of 5087759040 in words is "five billion, eighty-seven million, seven hundred fifty-nine thousand, forty".