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5005556136 = 2333729114157
BaseRepresentation
bin1001010100101101…
…01011100110101000
3110220211211121011000
410222112223212220
540222410244021
62144410235000
7235020345060
oct45226534650
913824747130
105005556136
112139562459
12b78425a60
1361a055849
14356b0a3a0
151e46a2b26
hex12a5ab9a8

5005556136 has 128 divisors (see below), whose sum is σ = 16438752000. Its totient is φ = 1380830976.

The previous prime is 5005556113. The next prime is 5005556183. The reversal of 5005556136 is 6316555005.

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 5005556136.

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, 13231 + ... + 100926.

It is an arithmetic number, because the mean of its divisors is an integer number (128427750).

Almost surely, 25005556136 is an apocalyptic number.

5005556136 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 5005556136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219376000).

5005556136 is an abundant number, since it is smaller than the sum of its proper divisors (11433195864).

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

5005556136 is a wasteful number, since it uses less digits than its factorization.

5005556136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114208 (or 114198 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 5005556136 is about 70749.9550247207. The cubic root of 5005556136 is about 1710.6091028022.

The spelling of 5005556136 in words is "five billion, five million, five hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 10962 14616 21924 43848 114157 228314 342471 456628 684942 799099 913256 1027413 1369884 1598198 2054826 2397297 2739768 3082239 3196396 3310553 4109652 4794594 6164478 6392792 6621106 7191891 8219304 9589188 9931659 12328956 13242212 14383782 19178376 19863318 21575673 23173871 24657912 26484424 28767564 29794977 39726636 43151346 46347742 57535128 59589954 69521613 79453272 86302692 89384931 92695484 119179908 139043226 172605384 178769862 185390968 208564839 238359816 278086452 357539724 417129678 556172904 625694517 715079448 834259356 1251389034 1668518712 2502778068 5005556136