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136993434032 = 247213177310831
BaseRepresentation
bin111111110010101110…
…0011110100110110000
3111002121022022111121002
41333211130132212300
54221030304342112
6142533420421132
712616552655600
oct1774534364660
9432538274532
10136993434032
115310a249684
12226729a77a8
13cbc2a1bc90
1468b81d6c00
15386bcd21c2
hex1fe571e9b0

136993434032 has 240 divisors, whose sum is σ = 356925405312. Its totient is φ = 50303877120.

The previous prime is 136993433999. The next prime is 136993434059. The reversal of 136993434032 is 230434399631.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12642857 + ... + 12653687.

Almost surely, 2136993434032 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 136993434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178462702656).

136993434032 is an abundant number, since it is smaller than the sum of its proper divisors (219931971280).

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

136993434032 is a wasteful number, since it uses less digits than its factorization.

136993434032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10956 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 47.

The spelling of 136993434032 in words is "one hundred thirty-six billion, nine hundred ninety-three million, four hundred thirty-four thousand, thirty-two".