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5338408146 = 2323535989139
BaseRepresentation
bin1001111100011000…
…11010010011010010
3111210001011020021020
410332030122103102
541413113030041
62241420340310
7246201502101
oct47614322322
914701136236
105338408146
11229a435065
12104b9a4696
13670cb67b6
14388dd2038
15213a00866
hex13e31a4d2

5338408146 has 128 divisors (see below), whose sum is σ = 11757312000. Its totient is φ = 1611557376.

The previous prime is 5338408109. The next prime is 5338408177. The reversal of 5338408146 is 6418048335.

It is a junction number, because it is equal to n+sod(n) for n = 5338408098 and 5338408107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38405745 + ... + 38405883.

It is an arithmetic number, because the mean of its divisors is an integer number (91854000).

Almost surely, 25338408146 is an apocalyptic number.

5338408146 is an abundant number, since it is smaller than the sum of its proper divisors (6418903854).

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

5338408146 is a wasteful number, since it uses less digits than its factorization.

5338408146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368.

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 5338408146 is about 73064.4109399371. The cubic root of 5338408146 is about 1747.7149109512.

The spelling of 5338408146 in words is "five billion, three hundred thirty-eight million, four hundred eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 23 46 53 59 69 89 106 118 138 139 159 177 178 267 278 318 354 417 534 834 1219 1357 2047 2438 2714 3127 3197 3657 4071 4094 4717 5251 6141 6254 6394 7314 7367 8142 8201 9381 9434 9591 10502 12282 12371 14151 14734 15753 16402 18762 19182 22101 24603 24742 28302 31506 37113 44202 49206 71921 74226 108491 120773 143842 169441 188623 215763 216982 241546 278303 284533 325473 338882 362319 377246 431526 434653 508323 556606 565869 569066 650946 655663 724638 729889 834909 853599 869306 1016646 1131738 1303959 1311326 1459778 1669818 1707198 1966989 2189667 2607918 3933978 4379334 6400969 9997019 12801938 15080249 16787447 19202907 19994038 29991057 30160498 33574894 38405814 38684117 45240747 50362341 59982114 77368234 90481494 100724682 116052351 232104702 889734691 1779469382 2669204073 5338408146