Search a number
-
+
135062598048 = 253721973127163
BaseRepresentation
bin111110111001001011…
…0111011000110100000
3110220121202002212120020
41331302112323012200
54203102011114143
6142014044113440
712520656066300
oct1756226730640
9426552085506
10135062598048
1152309351a64
1222214235880
13c9759aca91
1467739c3600
1537a7532883
hex1f725bb1a0

135062598048 has 576 divisors, whose sum is σ = 446263050240. Its totient is φ = 35554111488.

The previous prime is 135062598017. The next prime is 135062598107. The reversal of 135062598048 is 840895260531.

It is a super-2 number, since 2×1350625980482 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828604815 + ... + 828604977.

It is an arithmetic number, because the mean of its divisors is an integer number (774762240).

Almost surely, 2135062598048 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 135062598048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223131525120).

135062598048 is an abundant number, since it is smaller than the sum of its proper divisors (311200452192).

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

135062598048 is a wasteful number, since it uses less digits than its factorization.

135062598048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 135062598048 in words is "one hundred thirty-five billion, sixty-two million, five hundred ninety-eight thousand, forty-eight".