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149022596136960 = 219335713171361
BaseRepresentation
bin100001111000100100000110…
…111010000000000000000000
3201112122102100221200001121000
4201320210012322000000000
5124013041234102340320
61244540011403132000
743250345566042560
oct4170440672000000
9645572327601530
10149022596136960
1143535145565527
12148696b1b14000
13651ca02a97820
1428b2a36db2da0
1512366467eec90
hex878906e80000

149022596136960 has 2560 divisors, whose sum is σ = 691000523136000. Its totient is φ = 29570849832960.

The previous prime is 149022596136949. The next prime is 149022596136979. The reversal of 149022596136960 is 69631695220941.

149022596136960 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 2 + 2 + 5 + 9 + 613 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109494926680 + ... + 109494928040.

It is an arithmetic number, because the mean of its divisors is an integer number (269922079350).

Almost surely, 2149022596136960 is an apocalyptic number.

149022596136960 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 149022596136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345500261568000).

149022596136960 is an abundant number, since it is smaller than the sum of its proper divisors (541977926999040).

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

149022596136960 is an equidigital number, since it uses as much as digits as its factorization.

149022596136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 149022596136960 in words is "one hundred forty-nine trillion, twenty-two billion, five hundred ninety-six million, one hundred thirty-six thousand, nine hundred sixty".