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134681499810 = 232511131931109163
BaseRepresentation
bin111110101101110100…
…1001001100010100010
3110212122012000002001200
41331123221021202202
54201311430443220
6141512151542030
712505350600564
oct1753351114242
9425565002050
10134681499810
1152133217240
122212868a916
13c914a58a70
14673913d334
153783d54890
hex1f5ba498a2

134681499810 has 768 divisors, whose sum is σ = 453880627200. Its totient is φ = 27209779200.

The previous prime is 134681499781. The next prime is 134681499847. The reversal of 134681499810 is 18994186431.

134681499810 is a `hidden beast` number, since 1 + 3 + 468 + 14 + 99 + 81 + 0 = 666.

It is a super-2 number, since 2×1346814998102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 826266789 + ... + 826266951.

It is an arithmetic number, because the mean of its divisors is an integer number (590990400).

Almost surely, 2134681499810 is an apocalyptic number.

134681499810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134681499810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226940313600).

134681499810 is an abundant number, since it is smaller than the sum of its proper divisors (319199127390).

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

134681499810 is a wasteful number, since it uses less digits than its factorization.

134681499810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 134681499810 in words is "one hundred thirty-four billion, six hundred eighty-one million, four hundred ninety-nine thousand, eight hundred ten".