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5112334136 = 23713291032351
BaseRepresentation
bin1001100001011100…
…00000011100111000
3111012021202111000202
410300232000130320
540432224143021
62203143021332
7240455060150
oct46056003470
914167674022
105112334136
112193863338
12ba813a848
136362004b0
14366d83760
151edc45a0b
hex130b80738

5112334136 has 128 divisors (see below), whose sum is σ = 12328243200. Its totient is φ = 1932940800.

The previous prime is 5112334111. The next prime is 5112334151. The reversal of 5112334136 is 6314332115.

It is a super-2 number, since 2×51123341362 = 52271920636221732992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 5112334099 and 5112334108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2173361 + ... + 2175711.

It is an arithmetic number, because the mean of its divisors is an integer number (96314400).

Almost surely, 25112334136 is an apocalyptic number.

5112334136 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 5112334136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164121600).

5112334136 is an abundant number, since it is smaller than the sum of its proper divisors (7215909064).

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

5112334136 is a wasteful number, since it uses less digits than its factorization.

5112334136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2505 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 5112334136 is about 71500.5883612156. The cubic root of 5112334136 is about 1722.6871346924.

The spelling of 5112334136 in words is "five billion, one hundred twelve million, three hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 103 104 116 182 203 206 232 364 377 406 412 721 728 754 812 824 1339 1442 1508 1624 2351 2639 2678 2884 2987 3016 4702 5278 5356 5768 5974 9373 9404 10556 10712 11948 16457 18746 18808 20909 21112 23896 30563 32914 37492 38831 41818 61126 65828 68179 74984 77662 83636 122252 131656 136358 155324 167272 213941 242153 244504 271817 272716 310648 427882 477253 484306 543634 545432 855764 886327 954506 968612 1087268 1695071 1711528 1772654 1909012 1937224 2174536 3147989 3390142 3545308 3818024 6204289 6295978 6780284 7022437 7090616 12408578 12591956 13560568 14044874 22035923 24817156 25183912 28089748 44071846 49157059 49634312 56179496 88143692 91291681 98314118 176287384 182583362 196628236 365166724 393256472 639041767 730333448 1278083534 2556167068 5112334136