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137654039028 = 2231110911818101
BaseRepresentation
bin1000000000110011010…
…0011111000111110100
3111011022100100201021210
42000030310133013310
54223403413222103
6143123135441420
712642124011642
oct2001464370764
9434270321253
10137654039028
1153419130a20
1222818086270
13cc99846ccc
14693bc38192
1538a9cc1e03
hex200cd1f1f4

137654039028 has 96 divisors (see below), whose sum is σ = 353949805440. Its totient is φ = 41290560000.

The previous prime is 137654039023. The next prime is 137654039069. The reversal of 137654039028 is 820930456731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137654039023) 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 31 ways as a sum of consecutive naturals, for example, 16988178 + ... + 16996278.

It is an arithmetic number, because the mean of its divisors is an integer number (3686977140).

It is a 1-persistent number, because it is pandigital, but 2⋅137654039028 = 275308078056 is not.

Almost surely, 2137654039028 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 137654039028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176974902720).

137654039028 is an abundant number, since it is smaller than the sum of its proper divisors (216295766412).

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

137654039028 is a wasteful number, since it uses less digits than its factorization.

137654039028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 137654039028 in words is "one hundred thirty-seven billion, six hundred fifty-four million, thirty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1181 1199 1308 2362 2398 3543 3597 4724 4796 7086 7194 8101 12991 14172 14388 16202 24303 25982 32404 38973 48606 51964 77946 89111 97212 128729 155892 178222 257458 267333 356444 386187 514916 534666 772374 883009 1069332 1416019 1544748 1766018 2649027 2832038 3532036 4248057 5298054 5664076 8496114 9567281 9713099 10596108 16992228 19134562 19426198 28701843 29139297 38269124 38852396 57403686 58278594 105240091 114807372 116557188 210480182 315720273 420960364 631440546 1042833629 1262881092 2085667258 3128500887 4171334516 6257001774 11471169919 12514003548 22942339838 34413509757 45884679676 68827019514 137654039028