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150643656 = 23322092273
BaseRepresentation
bin10001111101010…
…10001111001000
3101111110111020200
420332222033020
5302031044111
622540452200
73506310222
oct1076521710
9344414220
10150643656
1178041899
124254a060
1325295b77
1416015412
15d35a256
hex8faa3c8

150643656 has 24 divisors (see below), whose sum is σ = 407993430. Its totient is φ = 50214528.

The previous prime is 150643651. The next prime is 150643657. The reversal of 150643656 is 656346051.

150643656 is a `hidden beast` number, since 1 + 5 + 0 + 643 + 6 + 5 + 6 = 666.

150643656 is digitally balanced in base 2, 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., 128459556 + 22184100 = 11334^2 + 4710^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1506436563 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150643656.

It is not an unprimeable number, because it can be changed into a prime (150643651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1046065 + ... + 1046208.

Almost surely, 2150643656 is an apocalyptic number.

It is an amenable number.

150643656 is an abundant number, since it is smaller than the sum of its proper divisors (257349774).

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

150643656 is a wasteful number, since it uses less digits than its factorization.

150643656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092285 (or 2092278 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 150643656 is about 12273.6977313278. The cubic root of 150643656 is about 532.0881852043.

The spelling of 150643656 in words is "one hundred fifty million, six hundred forty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2092273 4184546 6276819 8369092 12553638 16738184 18830457 25107276 37660914 50214552 75321828 150643656