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137638888884 = 223272144753923
BaseRepresentation
bin1000000000101111101…
…0101100010110110100
3111011021021212000012100
42000023322230112310
54223341023421014
6143121435022100
712641551152300
oct2001372542664
9434237760170
10137638888884
1153410623442
1222812b9a930
13cc96671223
146939c12d00
1538a87cd009
hex200beac5b4

137638888884 has 108 divisors (see below), whose sum is σ = 405011085024. Its totient is φ = 39297490848.

The previous prime is 137638888823. The next prime is 137638888889. The reversal of 137638888884 is 488888836731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137638888889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2525547 + ... + 2579469.

Almost surely, 2137638888884 is an apocalyptic number.

137638888884 is a gapful number since it is divisible by the number (14) 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 137638888884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202505542512).

137638888884 is an abundant number, since it is smaller than the sum of its proper divisors (267372196140).

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

137638888884 is a wasteful number, since it uses less digits than its factorization.

137638888884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55394 (or 55382 counting only the distinct ones).

The product of its digits is 396361728, while the sum is 72.

The spelling of 137638888884 in words is "one hundred thirty-seven billion, six hundred thirty-eight million, eight hundred eighty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1447 1764 2894 4341 5788 8682 10129 13023 17364 20258 26046 30387 40516 52092 53923 60774 70903 91161 107846 121548 141806 161769 182322 212709 215692 283612 323538 364644 377461 425418 485307 638127 647076 754922 850836 970614 1132383 1276254 1509844 1941228 2264766 2552508 2642227 3397149 4529532 5284454 6794298 7926681 10568908 13588596 15853362 23780043 31706724 47560086 78026581 95120172 156053162 234079743 312106324 468159486 546186067 702239229 936318972 1092372134 1404478458 1638558201 2184744268 2808956916 3277116402 3823302469 4915674603 6554232804 7646604938 9831349206 11469907407 15293209876 19662698412 22939814814 34409722221 45879629628 68819444442 137638888884