Search a number
-
+
131263387864 = 23717937335107
BaseRepresentation
bin111101000111111101…
…0000101100011011000
3110112210222012222221221
41322033322011203120
54122311411402424
6140145045541424
712324554246620
oct1721772054330
9415728188857
10131263387864
1150739840134
1221533a14874
13c4bb86100b
1464d31b9880
153633c209e4
hex1e8fe858d8

131263387864 has 64 divisors (see below), whose sum is σ = 283616467200. Its totient is φ = 55789893504.

The previous prime is 131263387831. The next prime is 131263387877. The reversal of 131263387864 is 468783362131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3721399 + ... + 3756505.

It is an arithmetic number, because the mean of its divisors is an integer number (4431507300).

Almost surely, 2131263387864 is an apocalyptic number.

131263387864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131263387864 is an abundant number, since it is smaller than the sum of its proper divisors (152353079336).

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

131263387864 is a wasteful number, since it uses less digits than its factorization.

131263387864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35672 (or 35668 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 131263387864 in words is "one hundred thirty-one billion, two hundred sixty-three million, three hundred eighty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 179 358 373 716 746 1253 1432 1492 2506 2611 2984 5012 5222 10024 10444 20888 35107 66767 70214 133534 140428 245749 267068 280856 467369 491498 534136 934738 982996 1869476 1965992 3738952 6284153 12568306 13094911 25136612 26189822 43989071 50273224 52379644 87978142 91664377 104759288 175956284 183328754 351912568 366657508 733315016 2343989069 4687978138 9375956276 16407923483 18751912552 32815846966 65631693932 131263387864