Search a number
-
+
150630955255872 = 2637713172151271
BaseRepresentation
bin100010001111111110000000…
…100101001000100001000000
3201202100011211021002210000000
4202033332000211020201000
5124220414144021141442
61252210523333000000
743504504331013660
oct4217760045104100
9652304737083000
10150630955255872
1143aa5258334753
1214a89356183000
136608590760670
14292a81192a1a0
1512633cbbb9d4c
hex88ff80948840

150630955255872 has 2688 divisors, whose sum is σ = 592170072309760. Its totient is φ = 37005299712000.

The previous prime is 150630955255841. The next prime is 150630955255877. The reversal of 150630955255872 is 278552559036051.

150630955255872 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 3 + 0 + 9 + 5 + 5 + 2 + 558 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (150630955255877) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 555833783097 + ... + 555833783367.

Almost surely, 2150630955255872 is an apocalyptic number.

150630955255872 is a gapful number since it is divisible by the number (12) 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 150630955255872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296085036154880).

150630955255872 is an abundant number, since it is smaller than the sum of its proper divisors (441539117053888).

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

150630955255872 is a wasteful number, since it uses less digits than its factorization.

150630955255872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 113400000, while the sum is 63.

The spelling of 150630955255872 in words is "one hundred fifty trillion, six hundred thirty billion, nine hundred fifty-five million, two hundred fifty-five thousand, eight hundred seventy-two".