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5172071856 = 243779271719
BaseRepresentation
bin1001101000100011…
…11000110110110000
3111100110011110202220
410310101320312300
541043022244411
62213115241040
7242111612460
oct46421706660
914313143686
105172071856
112214555156
121004149180
136456b7c63
14370c93ba0
152040e5b06
hex134478db0

5172071856 has 160 divisors (see below), whose sum is σ = 15541862400. Its totient is φ = 1451623680.

The previous prime is 5172071831. The next prime is 5172071867. The reversal of 5172071856 is 6581702715.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 7193065 + ... + 7193783.

It is an arithmetic number, because the mean of its divisors is an integer number (97136640).

Almost surely, 25172071856 is an apocalyptic number.

5172071856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5172071856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770931200).

5172071856 is an abundant number, since it is smaller than the sum of its proper divisors (10369790544).

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

5172071856 is a wasteful number, since it uses less digits than its factorization.

5172071856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The square root of 5172071856 is about 71917.1179622765. The cubic root of 5172071856 is about 1729.3710451587.

The spelling of 5172071856 in words is "five billion, one hundred seventy-two million, seventy-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 271 316 336 474 542 553 632 719 813 948 1084 1106 1264 1438 1626 1659 1896 1897 2157 2168 2212 2876 3252 3318 3792 3794 4314 4336 4424 5033 5691 5752 6504 6636 7588 8628 8848 10066 11382 11504 13008 13272 15099 15176 17256 20132 21409 22764 26544 30198 30352 34512 40264 42818 45528 56801 60396 64227 80528 85636 91056 113602 120792 128454 149863 170403 171272 194849 227204 241584 256908 299726 340806 342544 389698 397607 449589 454408 513816 584547 599452 681612 779396 795214 899178 908816 1027632 1169094 1192821 1198904 1363224 1363943 1558792 1590428 1798356 2338188 2385642 2397808 2726448 2727886 3117584 3180856 3596712 4091829 4676376 4771284 5455772 6361712 7193424 8183658 9352752 9542568 10911544 15393071 16367316 19085136 21823088 30786142 32734632 46179213 61572284 65469264 92358426 107751497 123144568 184716852 215502994 246289136 323254491 369433704 431005988 646508982 738867408 862011976 1293017964 1724023952 2586035928 5172071856