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149287939164000 = 253353721319181631
BaseRepresentation
bin100001111100011011001110…
…100101010100011101100000
3201120120210021011101110001000
4201330123032211110131200
5124031413144411222000
61245301533225112000
743305461205414600
oct4174331645243540
9646523234343030
10149287939164000
114362772880300a
12148b1004928600
13653ba3b786b30
1428c18093bcc00
15123d4c65db000
hex87c6ce954760

149287939164000 has 4608 divisors, whose sum is σ = 721683028684800. Its totient is φ = 29628426240000.

The previous prime is 149287939163989. The next prime is 149287939164011. The reversal of 149287939164000 is 461939782941.

149287939164000 is a `hidden beast` number, since 1 + 492 + 8 + 7 + 93 + 9 + 16 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149287939163989) and next prime (149287939164011).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 236589443685 + ... + 236589444315.

It is an arithmetic number, because the mean of its divisors is an integer number (156615240600).

Almost surely, 2149287939164000 is an apocalyptic number.

149287939164000 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 149287939164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360841514342400).

149287939164000 is an abundant number, since it is smaller than the sum of its proper divisors (572395089520800).

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

149287939164000 is a wasteful number, since it uses less digits than its factorization.

149287939164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 149287939164000 in words is "one hundred forty-nine trillion, two hundred eighty-seven billion, nine hundred thirty-nine million, one hundred sixty-four thousand".