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136415525514631 = 11247313127760013
BaseRepresentation
bin11111000001000110110110…
…111100001010110110000111
3122220000012022112010001220021
4133001012312330022312013
5120340012444012432011
61202044232142520011
740506460614625006
oct3701066674126607
9586005275101807
10136415525514631
113a514554897a00
12133722ab596007
135b16c0c91895c
14259879208cc3d
1510b8732e47471
hex7c11b6f0ad87

136415525514631 has 48 divisors (see below), whose sum is σ = 153746753553792. Its totient is φ = 120890976560640.

The previous prime is 136415525514553. The next prime is 136415525514707.

It is a happy number.

136415525514631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136415525514631 - 29 = 136415525514119 is a prime.

It is a super-2 number, since 2×1364155255146312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136415525614631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2273069581 + ... + 2273129593.

It is an arithmetic number, because the mean of its divisors is an integer number (3203057365704).

Almost surely, 2136415525514631 is an apocalyptic number.

136415525514631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136415525514631 is a deficient number, since it is larger than the sum of its proper divisors (17331228039161).

136415525514631 is a wasteful number, since it uses less digits than its factorization.

136415525514631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61672 (or 61661 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 52.

The spelling of 136415525514631 in words is "one hundred thirty-six trillion, four hundred fifteen billion, five hundred twenty-five million, five hundred fourteen thousand, six hundred thirty-one".

Divisors: 1 11 47 121 313 517 1277 3443 5687 14047 14711 37873 60013 60019 154517 161821 399701 660143 660209 1780031 2820611 4396711 7261573 7262299 18784069 18785947 31026721 48363821 76636601 206624759 206645417 341293931 843002611 882851243 2272872349 2273099587 3601920247 9273028721 9711363673 23987256113 39621122717 106825000403 263859817243 435832349887 1127401037311 2902457989673 12401411410421 136415525514631