Search a number
-
+
150557790400 = 2652672296133
BaseRepresentation
bin1000110000110111110…
…0011001000011000000
3112101121122001012110021
42030031330121003000
54431320243243100
6153055411543224
713606651050223
oct2141574310300
9471548035407
10150557790400
115893aa47356
12252195bab14
1311274cb9854
1474038ab5ba
153db2a60a1a
hex230df190c0

150557790400 has 168 divisors, whose sum is σ = 377699087120. Its totient is φ = 59055575040.

The previous prime is 150557790373. The next prime is 150557790403. The reversal of 150557790400 is 4097755051.

It is not an unprimeable number, because it can be changed into a prime (150557790403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24545734 + ... + 24551866.

Almost surely, 2150557790400 is an apocalyptic number.

150557790400 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 150557790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188849543560).

150557790400 is an abundant number, since it is smaller than the sum of its proper divisors (227141296720).

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

150557790400 is a wasteful number, since it uses less digits than its factorization.

150557790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 43.

The spelling of 150557790400 in words is "one hundred fifty billion, five hundred fifty-seven million, seven hundred ninety thousand, four hundred".