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149532249636 = 223872112312
BaseRepresentation
bin1000101101000011010…
…0010000111000100100
3112021222011022100000000
42023100310100320210
54422220223442021
6152405535021300
713542356102400
oct2132064207044
9467864270000
10149532249636
1158464069400
1224b9206a830
13111406a92b3
1473475d2100
153d529d6b26
hex22d0d10e24

149532249636 has 729 divisors, whose sum is σ = 518576720571. Its totient is φ = 37586656800.

The previous prime is 149532249589. The next prime is 149532249683. The reversal of 149532249636 is 636942235941.

The square root of 149532249636 is 386694.

It is a perfect power (a square), and thus also a powerful number.

149532249636 is a `hidden beast` number, since 1 + 4 + 9 + 532 + 2 + 49 + 63 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (149532249589) and next prime (149532249683).

It is a tau number, because it is divible by the number of its divisors (729).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8398080) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4823620941 + ... + 4823620971.

Almost surely, 2149532249636 is an apocalyptic number.

149532249636 is the 386694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149532249636

149532249636 is an abundant number, since it is smaller than the sum of its proper divisors (369044470935).

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

149532249636 is an equidigital number, since it uses as much as digits as its factorization.

149532249636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 54 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 149532249636 in words is "one hundred forty-nine billion, five hundred thirty-two million, two hundred forty-nine thousand, six hundred thirty-six".