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136350629352 = 2332717532831061
BaseRepresentation
bin111111011111100100…
…0010111110111101000
3111000221111202122100100
41332333020113313220
54213221230114402
6142345535105400
712564616140510
oct1767710276750
9430844678310
10136350629352
115290a414a43
1222513672260
13cb1c7b7092
146856aaa840
15383065b71c
hex1fbf217de8

136350629352 has 384 divisors, whose sum is σ = 457334242560. Its totient is φ = 35813007360.

The previous prime is 136350629321. The next prime is 136350629357. The reversal of 136350629352 is 253926053631.

It is a happy number.

136350629352 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 506 + 2 + 93 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136350629298 and 136350629307.

It is not an unprimeable number, because it can be changed into a prime (136350629357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128510902 + ... + 128511962.

It is an arithmetic number, because the mean of its divisors is an integer number (1190974590).

Almost surely, 2136350629352 is an apocalyptic number.

136350629352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136350629352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228667121280).

136350629352 is an abundant number, since it is smaller than the sum of its proper divisors (320983613208).

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

136350629352 is a wasteful number, since it uses less digits than its factorization.

136350629352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 136350629352 in words is "one hundred thirty-six billion, three hundred fifty million, six hundred twenty-nine thousand, three hundred fifty-two".