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136426937850 = 233527196591153
BaseRepresentation
bin111111100001110101…
…1011101110111111010
3111001010211100111221000
41333003223131313322
54213400244002400
6142401302425430
712566533560330
oct1770353356772
9431124314830
10136426937850
11529494a4715
1222535132276
13cb32554138
146862c91b50
1538371d1600
hex1fc3adddfa

136426937850 has 384 divisors, whose sum is σ = 453328128000. Its totient is φ = 29471662080.

The previous prime is 136426937821. The next prime is 136426937873. The reversal of 136426937850 is 58739624631.

136426937850 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 269 + 378 + 5 + 0 = 666.

It is a super-2 number, since 2×1364269378502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118322874 + ... + 118324026.

It is an arithmetic number, because the mean of its divisors is an integer number (1180542000).

It is a 1-persistent number, because it is pandigital, but 2⋅136426937850 = 272853875700 is not.

Almost surely, 2136426937850 is an apocalyptic number.

136426937850 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 136426937850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226664064000).

136426937850 is an abundant number, since it is smaller than the sum of its proper divisors (316901190150).

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

136426937850 is a wasteful number, since it uses less digits than its factorization.

136426937850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 136426937850 in words is "one hundred thirty-six billion, four hundred twenty-six million, nine hundred thirty-seven thousand, eight hundred fifty".