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137487853953 = 3431111749019
BaseRepresentation
bin1000000000001011101…
…0100010100110000001
3111010212202122122020000
42000002322202212001
54223033342311303
6143054441510213
712635035322232
oct2000272424601
9433782578200
10137487853953
115334334468a
12227904a2369
13cc7129c248
146923b39089
15389a3e6da3
hex2002ea2981

137487853953 has 40 divisors (see below), whose sum is σ = 212202481920. Its totient is φ = 88620622560.

The previous prime is 137487853933. The next prime is 137487853967. The reversal of 137487853953 is 359358784731.

137487853953 is a `hidden beast` number, since 1 + 3 + 7 + 48 + 7 + 8 + 539 + 53 = 666.

It is not a de Polignac number, because 137487853953 - 28 = 137487853697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137487853933) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2780278 + ... + 2829296.

It is an arithmetic number, because the mean of its divisors is an integer number (5305062048).

Almost surely, 2137487853953 is an apocalyptic number.

It is an amenable number.

137487853953 is a deficient number, since it is larger than the sum of its proper divisors (74714627967).

137487853953 is a wasteful number, since it uses less digits than its factorization.

137487853953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50179 (or 50170 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 137487853953 in words is "one hundred thirty-seven billion, four hundred eighty-seven million, eight hundred fifty-three thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 31 81 93 279 837 1117 2511 3351 10053 30159 34627 49019 90477 103881 147057 311643 441171 934929 1323513 1519589 2804787 3970539 4558767 13676301 41028903 54754223 123086709 164262669 492788007 1478364021 1697380913 4435092063 5092142739 15276428217 45829284651 137487853953