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5015717040 = 2435293719477
BaseRepresentation
bin1001010101111010…
…11100010010110000
3110221112221211021210
410222331130102300
540233010421130
62145412120120
7235202614515
oct45275342260
913845854253
105015717040
1121442724a4
12b7b906040
1361c1a2709
143581d330c
151e550d5b0
hex12af5c4b0

5015717040 has 160 divisors (see below), whose sum is σ = 16520460480. Its totient is φ = 1256435712.

The previous prime is 5015717029. The next prime is 5015717059. The reversal of 5015717040 is 407175105.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5015716989 and 5015717007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247782 + ... + 267258.

It is an arithmetic number, because the mean of its divisors is an integer number (103252878).

Almost surely, 25015717040 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 5015717040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8260230240).

5015717040 is an abundant number, since it is smaller than the sum of its proper divisors (11504743440).

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

5015717040 is a wasteful number, since it uses less digits than its factorization.

5015717040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19559 (or 19553 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 5015717040 is about 70821.7271746461. The cubic root of 5015717040 is about 1711.7657899390.

The spelling of 5015717040 in words is "five billion, fifteen million, seven hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 37 40 48 58 60 74 80 87 111 116 120 145 148 174 185 222 232 240 290 296 348 370 435 444 464 555 580 592 696 740 870 888 1073 1110 1160 1392 1480 1740 1776 2146 2220 2320 2960 3219 3480 4292 4440 5365 6438 6960 8584 8880 10730 12876 16095 17168 19477 21460 25752 32190 38954 42920 51504 58431 64380 77908 85840 97385 116862 128760 155816 194770 233724 257520 292155 311632 389540 467448 564833 584310 720649 779080 934896 1129666 1168620 1441298 1558160 1694499 2161947 2259332 2337240 2824165 2882596 3388998 3603245 4323894 4518664 4674480 5648330 5765192 6777996 7206490 8472495 8647788 9037328 10809735 11296660 11530384 13555992 14412980 16944990 17295576 20898821 21619470 22593320 27111984 28825960 33889980 34591152 41797642 43238940 45186640 57651920 62696463 67779960 83595284 86477880 104494105 125392926 135559920 167190568 172955760 208988210 250785852 313482315 334381136 417976420 501571704 626964630 835952840 1003143408 1253929260 1671905680 2507858520 5015717040