Search a number
-
+
123150454632 = 2332611012271223
BaseRepresentation
bin111001010110001010…
…1101100111101101000
3102202212120022021210100
41302230111230331220
54004203004022012
6132324033345400
711616532410222
oct1625425547550
9382776267710
10123150454632
1148256248337
121ba4aa08260
13b7c7ac96ca
145d63915412
15330b8688dc
hex1cac56cf68

123150454632 has 192 divisors, whose sum is σ = 344146008960. Its totient is φ = 39768768000.

The previous prime is 123150454627. The next prime is 123150454711. The reversal of 123150454632 is 236454051321.

123150454632 is a `hidden beast` number, since 1 + 2 + 3 + 15 + 0 + 4 + 5 + 4 + 632 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100694773 + ... + 100695995.

It is an arithmetic number, because the mean of its divisors is an integer number (1792427130).

Almost surely, 2123150454632 is an apocalyptic number.

123150454632 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 123150454632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172073004480).

123150454632 is an abundant number, since it is smaller than the sum of its proper divisors (220995554328).

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

123150454632 is a wasteful number, since it uses less digits than its factorization.

123150454632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 123150454632 in words is "one hundred twenty-three billion, one hundred fifty million, four hundred fifty-four thousand, six hundred thirty-two".