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150150880008 = 2335294336151
BaseRepresentation
bin1000101111010110110…
…0001001101100001000
3112100120021101000100000
42023311230021230020
54430002111130013
6152551154243000
713563610264443
oct2136554115410
9470507330300
10150150880008
1158751291578
1225125286460
131120b8c8a7c
1473a582865a
153d8be84973
hex22f5b09b08

150150880008 has 192 divisors, whose sum is σ = 437340758400. Its totient is φ = 48204979200.

The previous prime is 150150879961. The next prime is 150150880063. The reversal of 150150880008 is 800088051051.

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, 24407733 + ... + 24413883.

It is an arithmetic number, because the mean of its divisors is an integer number (2277816450).

Almost surely, 2150150880008 is an apocalyptic number.

150150880008 is a gapful number since it is divisible by the number (18) 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 150150880008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218670379200).

150150880008 is an abundant number, since it is smaller than the sum of its proper divisors (287189878392).

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

150150880008 is a wasteful number, since it uses less digits than its factorization.

150150880008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 150150880008 in words is "one hundred fifty billion, one hundred fifty million, eight hundred eighty thousand, eight".