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150916164 = 22371994559
BaseRepresentation
bin10001111111011…
…00110001000100
3101111222100001120
420333230301010
5302113304124
622550353540
73511523550
oct1077546104
9344870046
10150916164
1178208603
124265b8b0
132535cc09
1416086860
15d3b0d79
hex8fecc44

150916164 has 48 divisors (see below), whose sum is σ = 423628800. Its totient is φ = 40849056.

The previous prime is 150916151. The next prime is 150916169. The reversal of 150916164 is 461619051.

150916164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150916169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45684 + ... + 48875.

It is an arithmetic number, because the mean of its divisors is an integer number (8825600).

Almost surely, 2150916164 is an apocalyptic number.

150916164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150916164 is an abundant number, since it is smaller than the sum of its proper divisors (272712636).

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

150916164 is a wasteful number, since it uses less digits than its factorization.

150916164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94592 (or 94590 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 150916164 is about 12284.7940153671. The cubic root of 150916164 is about 532.4088336070.

The spelling of 150916164 in words is "one hundred fifty million, nine hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 94559 189118 283677 378236 567354 661913 1134708 1323826 1796621 1985739 2647652 3593242 3971478 5389863 7186484 7942956 10779726 12576347 21559452 25152694 37729041 50305388 75458082 150916164