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135964255920 = 24354371971913
BaseRepresentation
bin111111010100000011…
…0011110011010110000
3110222221120201211122020
41332220012132122300
54211423322142140
6142243333511440
712552215051403
oct1765006363260
9428846654566
10135964255920
1152731306959
12224261a2580
13ca8a736c4c
14681b651d3a
15380b78a6d0
hex1fa819e6b0

135964255920 has 320 divisors, whose sum is σ = 442105703424. Its totient is φ = 34537144320.

The previous prime is 135964255813. The next prime is 135964255979. The reversal of 135964255920 is 29552469531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71072884 + ... + 71074796.

Almost surely, 2135964255920 is an apocalyptic number.

135964255920 is a gapful number since it is divisible by the number (10) 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 135964255920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221052851712).

135964255920 is an abundant number, since it is smaller than the sum of its proper divisors (306141447504).

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

135964255920 is a wasteful number, since it uses less digits than its factorization.

135964255920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 135964255920 in words is "one hundred thirty-five billion, nine hundred sixty-four million, two hundred fifty-five thousand, nine hundred twenty".