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150996317760 = 2632531289613
BaseRepresentation
bin1000110010100000010…
…1001111011001000000
3112102202012012200220100
42030220011033121000
54433220024132020
6153211115042400
713623554344521
oct2145005173100
9472665180810
10150996317760
1159045537462
1225320440400
1311314aca5b2
147445c20848
153ddb2d4a90
hex232814f640

150996317760 has 504 divisors, whose sum is σ = 543573721080. Its totient is φ = 38466109440.

The previous prime is 150996317707. The next prime is 150996317783. The reversal of 150996317760 is 67713699051.

It is a happy number.

150996317760 is a `hidden beast` number, since 1 + 509 + 9 + 6 + 3 + 1 + 77 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6456443904 + 144539873856 = 80352^2 + 380184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150996317697 and 150996317706.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246323214 + ... + 246323826.

Almost surely, 2150996317760 is an apocalyptic number.

150996317760 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 150996317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271786860540).

150996317760 is an abundant number, since it is smaller than the sum of its proper divisors (392577403320).

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

150996317760 is a wasteful number, since it uses less digits than its factorization.

150996317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 150996317760 in words is "one hundred fifty billion, nine hundred ninety-six million, three hundred seventeen thousand, seven hundred sixty".