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149260013622720 = 2632571113231128473
BaseRepresentation
bin100001111100000001001110…
…000101110101010111000000
3201120111010011222112222001100
4201330001032011311113000
5124030434001441411340
61245241034215534400
743303452165264420
oct4174011605652700
9646433158488040
10149260013622720
11436168a8542580
12148a771068a400
13653920b109200
1428c031a692480
15123c8deb81830
hex87c04e1755c0

149260013622720 has 2016 divisors, whose sum is σ = 715460844294144. Its totient is φ = 27705552076800.

The previous prime is 149260013622679. The next prime is 149260013622739. The reversal of 149260013622720 is 27226310062941.

149260013622720 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 6 + 0 + 0 + 13 + 622 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1161736404 + ... + 1161864876.

Almost surely, 2149260013622720 is an apocalyptic number.

149260013622720 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 149260013622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357730422147072).

149260013622720 is an abundant number, since it is smaller than the sum of its proper divisors (566200830671424).

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

149260013622720 is a wasteful number, since it uses less digits than its factorization.

149260013622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128571 (or 128545 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 149260013622720 in words is "one hundred forty-nine trillion, two hundred sixty billion, thirteen million, six hundred twenty-two thousand, seven hundred twenty".