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150442645248 = 28377231669
BaseRepresentation
bin1000110000011100010…
…1001001011100000000
3112101022121101020000000
42030013011021130000
54431101304121443
6153040140000000
713604052246120
oct2140705113400
9471277336000
10150442645248
1158890a51075
12251a6b30000
13112571a261c
1473d2496c80
153da78b88d3
hex2307149700

150442645248 has 576 divisors, whose sum is σ = 537418291200. Its totient is φ = 41090125824.

The previous prime is 150442645231. The next prime is 150442645279. The reversal of 150442645248 is 842546244051.

150442645248 is a `hidden beast` number, since 1 + 504 + 42 + 64 + 5 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 90138558 + ... + 90140226.

Almost surely, 2150442645248 is an apocalyptic number.

150442645248 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 150442645248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268709145600).

150442645248 is an abundant number, since it is smaller than the sum of its proper divisors (386975645952).

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

150442645248 is an frugal number, since it uses more digits than its factorization.

150442645248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

Adding to 150442645248 its reverse (842546244051), we get a palindrome (992988889299).

The spelling of 150442645248 in words is "one hundred fifty billion, four hundred forty-two million, six hundred forty-five thousand, two hundred forty-eight".