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136172696900 = 22522092165089
BaseRepresentation
bin111111011010010000…
…1100111010101000100
3111000111002221201220112
41332310201213111010
54212340202300100
6142320141252152
712560325553142
oct1766441472504
9430432851815
10136172696900
1152828a34729
1222483b64058
13cac19882c6
14683b1d0592
15381ec10b35
hex1fb4867544

136172696900 has 36 divisors (see below), whose sum is σ = 295513416660. Its totient is φ = 54465638400.

The previous prime is 136172696899. The next prime is 136172696903. The reversal of 136172696900 is 9696271631.

It can be written as a sum of positive squares in 6 ways, for example, as 14461024516 + 121711672384 = 120254^2 + 348872^2 .

It is a super-2 number, since 2×1361726969002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (136172696903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2059556 + ... + 2124644.

Almost surely, 2136172696900 is an apocalyptic number.

136172696900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136172696900 is an abundant number, since it is smaller than the sum of its proper divisors (159340719760).

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

136172696900 is a wasteful number, since it uses less digits than its factorization.

136172696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86024 (or 86017 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 50.

The spelling of 136172696900 in words is "one hundred thirty-six billion, one hundred seventy-two million, six hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20921 41842 65089 83684 104605 130178 209210 260356 325445 418420 523025 650890 1046050 1301780 1627225 2092100 3254450 6508900 1361726969 2723453938 5446907876 6808634845 13617269690 27234539380 34043174225 68086348450 136172696900