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135962095104 = 293411491607
BaseRepresentation
bin111111010011111111…
…0001110111000000000
3110222221102200001120000
41332213332032320000
54211422244020404
6142243215320000
712552160511553
oct1764776167000
9428842601500
10135962095104
1152730070460
1222425520000
13ca8a15b564
14681b24c69a
15380b4b0339
hex1fa7f8ee00

135962095104 has 400 divisors, whose sum is σ = 444335417856. Its totient is φ = 41048985600.

The previous prime is 135962095081. The next prime is 135962095121. The reversal of 135962095104 is 401590269531.

135962095104 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 620 + 9 + 5 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135962095104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 223989969 + ... + 223990575.

Almost surely, 2135962095104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135962095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222167708928).

135962095104 is an abundant number, since it is smaller than the sum of its proper divisors (308373322752).

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

135962095104 is an equidigital number, since it uses as much as digits as its factorization.

135962095104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 135962095104 in words is "one hundred thirty-five billion, nine hundred sixty-two million, ninety-five thousand, one hundred four".