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5079460640 = 255375316189
BaseRepresentation
bin1001011101100001…
…00110101100100000
3111002222220100001212
410232300212230200
540400320220030
62200010245252
7236605463102
oct45660465440
914088810055
105079460640
11217724aa61
12b99126828
1362c460617
14362867572
151eae00595
hex12ec26b20

5079460640 has 96 divisors (see below), whose sum is σ = 12557870640. Its totient is φ = 1939451904.

The previous prime is 5079460619. The next prime is 5079460697. The reversal of 5079460640 is 460649705.

It can be written as a sum of positive squares in 8 ways, for example, as 3800969104 + 1278491536 = 61652^2 + 35756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305666 + ... + 321854.

Almost surely, 25079460640 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 5079460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278935320).

5079460640 is an abundant number, since it is smaller than the sum of its proper divisors (7478410000).

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

5079460640 is a wasteful number, since it uses less digits than its factorization.

5079460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16294 (or 16286 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 5079460640 is about 71270.3349227433. The cubic root of 5079460640 is about 1718.9867657697.

The spelling of 5079460640 in words is "five billion, seventy-nine million, four hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 53 74 80 106 148 160 185 212 265 296 370 424 530 592 740 848 1060 1184 1480 1696 1961 2120 2960 3922 4240 5920 7844 8480 9805 15688 16189 19610 31376 32378 39220 62752 64756 78440 80945 129512 156880 161890 259024 313760 323780 518048 598993 647560 858017 1197986 1295120 1716034 2395972 2590240 2994965 3432068 4290085 4791944 5989930 6864136 8580170 9583888 11979860 13728272 17160340 19167776 23959720 27456544 31746629 34320680 47919440 63493258 68641360 95838880 126986516 137282720 158733145 253973032 317466290 507946064 634932580 1015892128 1269865160 2539730320 5079460640