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149022956880 = 243257194336191
BaseRepresentation
bin1000101011001001110…
…1011101110101010000
3112020122122222120200100
42022302131131311100
54420144334110010
6152243223052400
713523633143020
oct2126235356520
9466578876610
10149022956880
11582226351a6
1224a6b5a1100
131108c01c535
1472d9adba80
153d22e352c0
hex22b275dd50

149022956880 has 480 divisors, whose sum is σ = 616086282240. Its totient is φ = 31518305280.

The previous prime is 149022956869. The next prime is 149022956891. The reversal of 149022956880 is 88659220941.

It is a happy number.

149022956880 is a `hidden beast` number, since 1 + 490 + 2 + 2 + 95 + 68 + 8 + 0 = 666.

149022956880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149022956869) and next prime (149022956891).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4099585 + ... + 4135775.

It is an arithmetic number, because the mean of its divisors is an integer number (1283513088).

Almost surely, 2149022956880 is an apocalyptic number.

149022956880 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 149022956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308043141120).

149022956880 is an abundant number, since it is smaller than the sum of its proper divisors (467063325360).

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

149022956880 is a wasteful number, since it uses less digits than its factorization.

149022956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36279 (or 36270 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 149022956880 in words is "one hundred forty-nine billion, twenty-two million, nine hundred fifty-six thousand, eight hundred eighty".