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149550785280 = 28325133132213
BaseRepresentation
bin1000101101000111101…
…0111110001100000000
3112022000110012001010100
42023101322332030000
54422240000112110
6152411440202400
713543002462231
oct2132172761400
9468013161110
10149550785280
1158473579516
1224b98309400
1311144499030
147349c59088
153d54448bc0
hex22d1ebe300

149550785280 has 432 divisors, whose sum is σ = 575225554176. Its totient is φ = 35623895040.

The previous prime is 149550785273. The next prime is 149550785287. The reversal of 149550785280 is 82587055941.

149550785280 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 507 + 8 + 52 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (149550785273) and next prime (149550785287).

It is not an unprimeable number, because it can be changed into a prime (149550785287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4626454 + ... + 4658666.

Almost surely, 2149550785280 is an apocalyptic number.

149550785280 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 149550785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287612777088).

149550785280 is an abundant number, since it is smaller than the sum of its proper divisors (425674768896).

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

149550785280 is a wasteful number, since it uses less digits than its factorization.

149550785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32284 (or 32267 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 149550785280 in words is "one hundred forty-nine billion, five hundred fifty million, seven hundred eighty-five thousand, two hundred eighty".