Search a number
-
+
131636326635 = 3451198330059
BaseRepresentation
bin111101010011000100…
…0101111000011101011
3110120202221222020210000
41322212020233003223
54124042344423020
6140250051154043
712340033212642
oct1724610570353
9416687866700
10131636326635
11509103025a0
12216188a5923
13c54abb9148
14652a938359
15365683b090
hex1ea622f0eb

131636326635 has 80 divisors (see below), whose sum is σ = 257692596480. Its totient is φ = 63756624960.

The previous prime is 131636326621. The next prime is 131636326639. The reversal of 131636326635 is 536623636131.

131636326635 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 3 + 6 + 3 + 2 + 6 + 635 = 666.

It is a de Polignac number, because none of the positive numbers 2k-131636326635 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131636326639) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4364236 + ... + 4394294.

It is an arithmetic number, because the mean of its divisors is an integer number (3221157456).

Almost surely, 2131636326635 is an apocalyptic number.

131636326635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131636326635 is a deficient number, since it is larger than the sum of its proper divisors (126056269845).

131636326635 is a wasteful number, since it uses less digits than its factorization.

131636326635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31070 (or 31061 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 45.

The spelling of 131636326635 in words is "one hundred thirty-one billion, six hundred thirty-six million, three hundred twenty-six thousand, six hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 983 1485 2949 4455 4915 8847 10813 14745 26541 30059 32439 44235 54065 79623 90177 97317 132705 150295 162195 270531 291951 330649 398115 450885 486585 811593 875853 991947 1352655 1459755 1653245 2434779 2975841 4057965 4379265 4959735 8927523 12173895 14879205 26782569 29547997 44637615 88643991 133912845 147739985 265931973 325027967 443219955 797795919 975083901 1329659865 1625139835 2393387757 2925251703 3988979595 4875419505 8775755109 11966938785 14626258515 26327265327 43878775545 131636326635