Search a number
-
+
149821573920 = 253517101181787
BaseRepresentation
bin1000101110001000001…
…1111100101100100000
3112022201022201112022020
42023202003330230200
54423313310331140
6152454352141440
713552501236414
oct2134203745440
9468638645266
10149821573920
11585a2410a87
1225052b37880
1311188609ab5
147373bc6d44
153d6d0d76d0
hex22e20fcb20

149821573920 has 192 divisors, whose sum is σ = 504649305216. Its totient is φ = 37229772800.

The previous prime is 149821573883. The next prime is 149821573939. The reversal of 149821573920 is 29375128941.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733267 + ... + 915053.

It is an arithmetic number, because the mean of its divisors is an integer number (2628381798).

Almost surely, 2149821573920 is an apocalyptic number.

149821573920 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 149821573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252324652608).

149821573920 is an abundant number, since it is smaller than the sum of its proper divisors (354827731296).

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

149821573920 is a wasteful number, since it uses less digits than its factorization.

149821573920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181923 (or 181915 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 149821573920 in words is "one hundred forty-nine billion, eight hundred twenty-one million, five hundred seventy-three thousand, nine hundred twenty".