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5101372656 = 2433109131827
BaseRepresentation
bin1001100000001000…
…01100010011110000
3111011112010120201000
410300010030103300
540421422411111
62202112042000
7240262644402
oct46004142360
914145116630
105101372656
112188656866
12ba4533300
13633b63103
1436572cb72
151eccccc56
hex13010c4f0

5101372656 has 160 divisors (see below), whose sum is σ = 14907974400. Its totient is φ = 1669973760.

The previous prime is 5101372603. The next prime is 5101372667. The reversal of 5101372656 is 6562731015.

5101372656 is a `hidden beast` number, since 510 + 13 + 72 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5101372656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6168115 + ... + 6168941.

It is an arithmetic number, because the mean of its divisors is an integer number (93174840).

Almost surely, 25101372656 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 5101372656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453987200).

5101372656 is an abundant number, since it is smaller than the sum of its proper divisors (9806601744).

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

5101372656 is a wasteful number, since it uses less digits than its factorization.

5101372656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5101372656 is about 71423.8941531474. The cubic root of 5101372656 is about 1721.4550352152.

The spelling of 5101372656 in words is "five billion, one hundred one million, three hundred seventy-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 131 144 216 218 262 327 393 432 436 524 654 786 827 872 981 1048 1179 1308 1572 1654 1744 1962 2096 2358 2481 2616 2943 3144 3308 3537 3924 4716 4962 5232 5886 6288 6616 7074 7443 7848 9432 9924 11772 13232 14148 14279 14886 15696 18864 19848 22329 23544 28296 28558 29772 39696 42837 44658 47088 56592 57116 59544 85674 89316 90143 108337 114232 119088 128511 171348 178632 180286 216674 228464 257022 270429 325011 342696 357264 360572 385533 433348 514044 540858 650022 685392 721144 771066 811287 866696 975033 1028088 1081716 1300044 1442288 1542132 1622574 1733392 1950066 2056176 2163432 2433861 2600088 2925099 3084264 3245148 3900132 4326864 4867722 5200176 5850198 6168528 6490296 7800264 9735444 11700396 11808733 12980592 15600528 19470888 23400792 23617466 35426199 38941776 46801584 47234932 70852398 94469864 106278597 141704796 188939728 212557194 283409592 318835791 425114388 566819184 637671582 850228776 1275343164 1700457552 2550686328 5101372656