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149556081888 = 253329431271093
BaseRepresentation
bin1000101101001000111…
…1001011010011100000
3112022000211011010201000
42023102033023103200
54422242324110023
6152412145512000
713543065502233
oct2132217132340
9468024133630
10149556081888
1158476566984
1224b9a042600
1311145601b15
14734a83741a
153d54b43243
hex22d23cb4e0

149556081888 has 384 divisors, whose sum is σ = 465802444800. Its totient is φ = 46600759296.

The previous prime is 149556081887. The next prime is 149556081949. The reversal of 149556081888 is 888180655941.

149556081888 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 5 + 608 + 18 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149556081887) 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 63 ways as a sum of consecutive naturals, for example, 136830270 + ... + 136831362.

It is an arithmetic number, because the mean of its divisors is an integer number (1213027200).

Almost surely, 2149556081888 is an apocalyptic number.

149556081888 is a gapful number since it is divisible by the number (18) 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 149556081888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232901222400).

149556081888 is an abundant number, since it is smaller than the sum of its proper divisors (316246362912).

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

149556081888 is a wasteful number, since it uses less digits than its factorization.

149556081888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 149556081888 in words is "one hundred forty-nine billion, five hundred fifty-six million, eighty-one thousand, eight hundred eighty-eight".