Search a number
-
+
150989644512 = 25337197353359
BaseRepresentation
bin1000110010011110101…
…1110010001011100000
3112102201201122122221000
42030213223302023200
54433211322111022
6153210320032000
713623443542140
oct2144753621340
9472651578830
10150989644512
1159041799783
122531a162600
1311313602025
147444da4920
153dda9176ac
hex2327af22e0

150989644512 has 384 divisors, whose sum is σ = 508699699200. Its totient is φ = 42680107008.

The previous prime is 150989644499. The next prime is 150989644609. The reversal of 150989644512 is 215446989051.

150989644512 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 89 + 6 + 44 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420583789 + ... + 420584147.

It is an arithmetic number, because the mean of its divisors is an integer number (1324738800).

Almost surely, 2150989644512 is an apocalyptic number.

150989644512 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 150989644512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254349849600).

150989644512 is an abundant number, since it is smaller than the sum of its proper divisors (357710054688).

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

150989644512 is a wasteful number, since it uses less digits than its factorization.

150989644512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 150989644512 in words is "one hundred fifty billion, nine hundred eighty-nine million, six hundred forty-four thousand, five hundred twelve".