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5013605640 = 2335431496521
BaseRepresentation
bin1001010101101010…
…11000110100001000
3110221101222112222210
410222311120310020
540231440340030
62145254545120
7235145642031
oct45265306410
913841875883
105013605640
11214306013a
12b7b0681a0
1361b913674
14357c03a88
151e5242bb0
hex12ad58d08

5013605640 has 128 divisors (see below), whose sum is σ = 15496272000. Its totient is φ = 1296906240.

The previous prime is 5013605633. The next prime is 5013605687. The reversal of 5013605640 is 465063105.

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 = 5013605598 and 5013605607.

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, 765580 + ... + 772100.

It is an arithmetic number, because the mean of its divisors is an integer number (121064625).

Almost surely, 25013605640 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 5013605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7748136000).

5013605640 is an abundant number, since it is smaller than the sum of its proper divisors (10482666360).

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

5013605640 is a wasteful number, since it uses less digits than its factorization.

5013605640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6727 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5013605640 is about 70806.8191631286. The cubic root of 5013605640 is about 1711.5255630999.

Adding to 5013605640 its reverse (465063105), we get a palindrome (5478668745).

The spelling of 5013605640 in words is "five billion, thirteen million, six hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 149 172 215 258 298 344 430 447 516 596 645 745 860 894 1032 1192 1290 1490 1720 1788 2235 2580 2980 3576 4470 5160 5960 6407 6521 8940 12814 13042 17880 19221 19563 25628 26084 32035 32605 38442 39126 51256 52168 64070 65210 76884 78252 96105 97815 128140 130420 153768 156504 192210 195630 256280 260840 280403 384420 391260 560806 768840 782520 841209 971629 1121612 1402015 1682418 1943258 2243224 2804030 2914887 3364836 3886516 4206045 4858145 5608060 5829774 6729672 7773032 8412090 9716290 11216120 11659548 14574435 16824180 19432580 23319096 29148870 33648360 38865160 41780047 58297740 83560094 116595480 125340141 167120188 208900235 250680282 334240376 417800470 501360564 626700705 835600940 1002721128 1253401410 1671201880 2506802820 5013605640