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149636253312 = 27347213139163
BaseRepresentation
bin1000101101011100000…
…1000000011010000000
3112022020102000021020000
42023113001000122000
54422423340101222
6152424132120000
713545061111200
oct2132701003200
9468212007200
10149636253312
1158507844957
1225000a66000
13111590c2230
147357346400
153d5bbcc9ac
hex22d7040680

149636253312 has 960 divisors, whose sum is σ = 565327778400. Its totient is φ = 38940217344.

The previous prime is 149636253307. The next prime is 149636253341. The reversal of 149636253312 is 213352636941.

149636253312 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 3 + 625 + 3 + 3 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 918013743 + ... + 918013905.

Almost surely, 2149636253312 is an apocalyptic number.

149636253312 is a gapful number since it is divisible by the number (12) 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 149636253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282663889200).

149636253312 is an abundant number, since it is smaller than the sum of its proper divisors (415691525088).

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

149636253312 is a wasteful number, since it uses less digits than its factorization.

149636253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 327 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 149636253312 in words is "one hundred forty-nine billion, six hundred thirty-six million, two hundred fifty-three thousand, three hundred twelve".