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134786290590 = 23257213946493
BaseRepresentation
bin111110110000111100…
…0111001001110011110
3110212220111011222222200
41331201320321032132
54202020242244330
6141530413552330
712511062365220
oct1754170711636
9425814158880
10134786290590
1152187390096
12221577a56a6
13c930689043
14674901a410
15378d153a60
hex1f61e3939e

134786290590 has 48 divisors (see below), whose sum is σ = 400507836768. Its totient is φ = 30808294848.

The previous prime is 134786290577. The next prime is 134786290601. The reversal of 134786290590 is 95092687431.

134786290590 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 8 + 629 + 0 + 5 + 9 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106972617 + ... + 106973876.

It is an arithmetic number, because the mean of its divisors is an integer number (8343913266).

It is a 1-persistent number, because it is pandigital, but 2⋅134786290590 = 269572581180 is not.

Almost surely, 2134786290590 is an apocalyptic number.

134786290590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134786290590 is an abundant number, since it is smaller than the sum of its proper divisors (265721546178).

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

134786290590 is a wasteful number, since it uses less digits than its factorization.

134786290590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213946513 (or 213946510 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 134786290590 in words is "one hundred thirty-four billion, seven hundred eighty-six million, two hundred ninety thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 213946493 427892986 641839479 1069732465 1283678958 1497625451 1925518437 2139464930 2995250902 3209197395 3851036874 4492876353 6418394790 7488127255 8985752706 9627592185 13478629059 14976254510 19255184370 22464381765 26957258118 44928763530 67393145295 134786290590