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150010216992 = 2532520868809
BaseRepresentation
bin1000101110110101001…
…1100100001000100000
3112100012110200120221200
42023231103210020200
54424210103420432
6152525211321200
713560251543256
oct2135523441040
9470173616850
10150010216992
1158689947349
12250a6150200
13111b8718a0c
147390c905d6
153d7e94ba7c
hex22ed4e4220

150010216992 has 36 divisors (see below), whose sum is σ = 426591555390. Its totient is φ = 50003405568.

The previous prime is 150010216969. The next prime is 150010217041. The reversal of 150010216992 is 299612010051.

150010216992 is a `hidden beast` number, since 1 + 500 + 1 + 0 + 2 + 1 + 69 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147668044176 + 2342172816 = 384276^2 + 48396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260434117 + ... + 260434692.

Almost surely, 2150010216992 is an apocalyptic number.

150010216992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150010216992 is an abundant number, since it is smaller than the sum of its proper divisors (276581338398).

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

150010216992 is a wasteful number, since it uses less digits than its factorization.

150010216992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520868825 (or 520868814 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 150010216992 in words is "one hundred fifty billion, ten million, two hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 520868809 1041737618 1562606427 2083475236 3125212854 4166950472 4687819281 6250425708 8333900944 9375638562 12500851416 16667801888 18751277124 25001702832 37502554248 50003405664 75005108496 150010216992