Search a number
-
+
150825483600 = 243521122713833
BaseRepresentation
bin1000110001110111100…
…1100011110101010000
3112102022021202102111020
42030131321203311100
54432342310433400
6153142133315440
713616411312661
oct2143571436520
9472267672436
10150825483600
1158a68065200
1225293195b80
13112b85b56ac
14742b271368
153dcb2dc2a0
hex231de63d50

150825483600 has 360 divisors, whose sum is σ = 533158125696. Its totient is φ = 36419328000.

The previous prime is 150825483587. The next prime is 150825483649. The reversal of 150825483600 is 6384528051.

150825483600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39347284 + ... + 39351116.

Almost surely, 2150825483600 is an apocalyptic number.

150825483600 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 150825483600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266579062848).

150825483600 is an abundant number, since it is smaller than the sum of its proper divisors (382332642096).

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

150825483600 is a wasteful number, since it uses less digits than its factorization.

150825483600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 150825483600 in words is "one hundred fifty billion, eight hundred twenty-five million, four hundred eighty-three thousand, six hundred".