Search a number
-
+
149269039920 = 24335711131731131
BaseRepresentation
bin1000101100000100100…
…0001100101100110000
3112021021211000220011000
42023001020030230300
54421200333234140
6152323453322000
713533011622210
oct2130110145460
9467254026130
10149269039920
1158339533010
1224b19a96300
13110cacc00c0
147320678240
153d39843a30
hex22c120cb30

149269039920 has 2560 divisors, whose sum is σ = 760271339520. Its totient is φ = 25878528000.

The previous prime is 149269039919. The next prime is 149269039939. The reversal of 149269039920 is 29930962941.

149269039920 is a `hidden beast` number, since 1 + 492 + 69 + 0 + 3 + 9 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1139458255 + ... + 1139458385.

It is an arithmetic number, because the mean of its divisors is an integer number (296980992).

Almost surely, 2149269039920 is an apocalyptic number.

149269039920 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 149269039920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380135669760).

149269039920 is an abundant number, since it is smaller than the sum of its proper divisors (611002299600).

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

149269039920 is a wasteful number, since it uses less digits than its factorization.

149269039920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 149269039920 in words is "one hundred forty-nine billion, two hundred sixty-nine million, thirty-nine thousand, nine hundred twenty".