Search a number
-
+
150157088208 = 24324722186331
BaseRepresentation
bin1000101111011000001…
…1110101010111010000
3112100120201001102101100
42023312003311113100
54430010203310313
6152551535304400
713564014122241
oct2136603652720
9470521042340
10150157088208
1158754841916
122512737b100
131120cc9076a
1473a65a2cc8
153d8c7ae173
hex22f60f55d0

150157088208 has 60 divisors (see below), whose sum is σ = 429172406208. Its totient is φ = 48987416640.

The previous prime is 150157088203. The next prime is 150157088239. The reversal of 150157088208 is 802880751051.

150157088208 is a `hidden beast` number, since 1 + 50 + 1 + 570 + 8 + 8 + 20 + 8 = 666.

150157088208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1501570882082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150157088203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11086398 + ... + 11099933.

Almost surely, 2150157088208 is an apocalyptic number.

150157088208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150157088208 is an abundant number, since it is smaller than the sum of its proper divisors (279015318000).

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

150157088208 is a wasteful number, since it uses less digits than its factorization.

150157088208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22186392 (or 22186383 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 150157088208 in words is "one hundred fifty billion, one hundred fifty-seven million, eighty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 22186331 44372662 66558993 88745324 133117986 177490648 199676979 266235972 354981296 399353958 532471944 798707916 1042757557 1064943888 1597415832 2085515114 3128272671 3194831664 4171030228 6256545342 8342060456 9384818013 12513090684 16684120912 18769636026 25026181368 37539272052 50052362736 75078544104 150157088208