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5017116040 = 2352313939233
BaseRepresentation
bin1001010110000101…
…10001110110001000
3110221122120220100121
410223002301312020
540233340203130
62145502113024
7235220532316
oct45302616610
913848526317
105017116040
1121450385a2
12b8027b774
1361c572421
143584790b6
151e56d7d7a
hex12b0b1d88

5017116040 has 64 divisors (see below), whose sum is σ = 11864361600. Its totient is φ = 1905733632.

The previous prime is 5017116019. The next prime is 5017116073. The reversal of 5017116040 is 406117105.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5017115996 and 5017116014.

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, 108264 + ... + 147496.

It is an arithmetic number, because the mean of its divisors is an integer number (185380650).

Almost surely, 25017116040 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 5017116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932180800).

5017116040 is an abundant number, since it is smaller than the sum of its proper divisors (6847245560).

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

5017116040 is a wasteful number, since it uses less digits than its factorization.

5017116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39406 (or 39402 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 5017116040 is about 70831.6033984831. The cubic root of 5017116040 is about 1711.9249255590.

The spelling of 5017116040 in words is "five billion, seventeen million, one hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 139 184 230 278 460 556 695 920 1112 1390 2780 3197 5560 6394 12788 15985 25576 31970 39233 63940 78466 127880 156932 196165 313864 392330 784660 902359 1569320 1804718 3609436 4511795 5453387 7218872 9023590 10906774 18047180 21813548 27266935 36094360 43627096 54533870 109067740 125427901 218135480 250855802 501711604 627139505 1003423208 1254279010 2508558020 5017116040