Search a number
-
+
154391506920 = 23335727274013
BaseRepresentation
bin1000111111001001110…
…0110110111111101000
3112202111210212011212000
42033302130312333220
510012143211210140
6154532041451000
714103652104300
oct2176234667750
9482453764760
10154391506920
115a527a87312
1225b094a0a60
131173632a771
147688ad8600
1540393dba30
hex23f2736fe8

154391506920 has 384 divisors, whose sum is σ = 599633798400. Its totient is φ = 35232164352.

The previous prime is 154391506909. The next prime is 154391507041. The reversal of 154391506920 is 29605193451.

154391506920 is a `hidden beast` number, since 1 + 5 + 439 + 150 + 69 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38470834 + ... + 38474846.

It is an arithmetic number, because the mean of its divisors is an integer number (1561546350).

Almost surely, 2154391506920 is an apocalyptic number.

154391506920 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 154391506920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299816899200).

154391506920 is an abundant number, since it is smaller than the sum of its proper divisors (445242291480).

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

154391506920 is a wasteful number, since it uses less digits than its factorization.

154391506920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 154391506920 in words is "one hundred fifty-four billion, three hundred ninety-one million, five hundred six thousand, nine hundred twenty".