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150423058080 = 25325238951031
BaseRepresentation
bin1000110000010111101…
…0011011011010100000
3112101021020112002110100
42030011322123122200
54431031300324310
6153034200102400
713603423616511
oct2140572333240
9471236462410
10150423058080
1158880992a29
12251a0464a00
1311253105099
1473cda38a08
153da5ce9ec0
hex2305e9b6a0

150423058080 has 288 divisors, whose sum is σ = 541665895680. Its totient is φ = 37936926720.

The previous prime is 150423058013. The next prime is 150423058099. The reversal of 150423058080 is 80850324051.

It is a happy number.

150423058080 is a `hidden beast` number, since 1 + 5 + 0 + 42 + 30 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2922165 + ... + 2973195.

It is an arithmetic number, because the mean of its divisors is an integer number (1880784360).

Almost surely, 2150423058080 is an apocalyptic number.

150423058080 is a gapful number since it is divisible by the number (10) 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 150423058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270832947840).

150423058080 is an abundant number, since it is smaller than the sum of its proper divisors (391242837600).

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

150423058080 is a wasteful number, since it uses less digits than its factorization.

150423058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51164 (or 51153 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 150423058080 in words is "one hundred fifty billion, four hundred twenty-three million, fifty-eight thousand, eighty".