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149852392704 = 2832721327349
BaseRepresentation
bin1000101110001111100…
…1100000110100000000
3112022210110201021201200
42023203321200310000
54423344203031304
6152501412501200
713553324215200
oct2134371406400
9468713637650
10149852392704
1158608850653
122506131a800
1311191b0a671
147377d2a400
153d70b73e39
hex22e3e60d00

149852392704 has 162 divisors, whose sum is σ = 502602404850. Its totient is φ = 42814937088.

The previous prime is 149852392649. The next prime is 149852392733. The reversal of 149852392704 is 407293258941.

149852392704 is a `hidden beast` number, since 1 + 4 + 98 + 523 + 9 + 27 + 0 + 4 = 666.

149852392704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 82916354304 + 66936038400 = 287952^2 + 258720^2 .

It is a super-2 number, since 2×1498523927042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 550779 + ... + 776570.

Almost surely, 2149852392704 is an apocalyptic number.

149852392704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

149852392704 is an abundant number, since it is smaller than the sum of its proper divisors (352750012146).

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

149852392704 is a wasteful number, since it uses less digits than its factorization.

149852392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327385 (or 1327361 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 149852392704 in words is "one hundred forty-nine billion, eight hundred fifty-two million, three hundred ninety-two thousand, seven hundred four".