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150998614272 = 28321121929983
BaseRepresentation
bin1000110010100000111…
…0000000000100000000
3112102202100112101010100
42030220032000010000
54433221121124042
6153211240202400
713623613021062
oct2145016000400
9472670471110
10150998614272
1159046865900
1225321169400
131131542298c
14744625b732
153ddb5da24c
hex2328380100

150998614272 has 648 divisors, whose sum is σ = 521629617600. Its totient is φ = 41811517440.

The previous prime is 150998614237. The next prime is 150998614297. The reversal of 150998614272 is 272416899051.

It is a happy number.

150998614272 is a `hidden beast` number, since 1 + 50 + 99 + 86 + 1 + 427 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153609493 + ... + 153610475.

Almost surely, 2150998614272 is an apocalyptic number.

150998614272 is a gapful number since it is divisible by the number (12) 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 150998614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260814808800).

150998614272 is an abundant number, since it is smaller than the sum of its proper divisors (370631003328).

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

150998614272 is a wasteful number, since it uses less digits than its factorization.

150998614272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 150998614272 in words is "one hundred fifty billion, nine hundred ninety-eight million, six hundred fourteen thousand, two hundred seventy-two".