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149323273632 = 25331341931729
BaseRepresentation
bin1000101100010001011…
…1000101010110100000
3112021102121002020211000
42023010113011112200
54421303224224012
6152333111552000
713534240612041
oct2130427052640
9467377066730
10149323273632
1158367105665
1224b3408b600
13111092cb560
1473279548c8
153d3e4a7ddc
hex22c45c55a0

149323273632 has 192 divisors, whose sum is σ = 470162448000. Its totient is φ = 45834522624.

The previous prime is 149323273607. The next prime is 149323273633. The reversal of 149323273632 is 236372323941.

149323273632 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 2 + 3 + 2 + 7 + 3 + 632 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (149323273633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4690344 + ... + 4722072.

It is an arithmetic number, because the mean of its divisors is an integer number (2448762750).

Almost surely, 2149323273632 is an apocalyptic number.

149323273632 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 149323273632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235081224000).

149323273632 is an abundant number, since it is smaller than the sum of its proper divisors (320839174368).

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

149323273632 is a wasteful number, since it uses less digits than its factorization.

149323273632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32180 (or 32166 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 149323273632 in words is "one hundred forty-nine billion, three hundred twenty-three million, two hundred seventy-three thousand, six hundred thirty-two".