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150422178816 = 210357213273
BaseRepresentation
bin1000110000010111011…
…1000100110000000000
3112101021011212102100000
42030011313010300000
54431031034210231
6153034125200000
713603413265200
oct2140567046000
9471234772300
10150422178816
1158880442368
12251a0100000
1311252b87b00
1473cd88a400
153da5bc46e6
hex2305dc4c00

150422178816 has 1188 divisors, whose sum is σ = 575144394552. Its totient is φ = 39128334336.

The previous prime is 150422178811. The next prime is 150422178931. The reversal of 150422178816 is 618871224051.

150422178816 is a `hidden beast` number, since 1 + 50 + 422 + 178 + 8 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150422178811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2060577756 + ... + 2060577828.

Almost surely, 2150422178816 is an apocalyptic number.

150422178816 is a gapful number since it is divisible by the number (16) 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 150422178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287572197276).

150422178816 is an abundant number, since it is smaller than the sum of its proper divisors (424722215736).

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

150422178816 is an equidigital number, since it uses as much as digits as its factorization.

150422178816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 150422178816 in words is "one hundred fifty billion, four hundred twenty-two million, one hundred seventy-eight thousand, eight hundred sixteen".