Search a number
-
+
151721530272 = 25341331337431
BaseRepresentation
bin1000110101001101001…
…1101101001110100000
3112111121201211022110000
42031103103231032200
54441211202432042
6153411102540000
713650541504644
oct2152323551640
9474551738400
10151721530272
1159387937344
12254a3297600
13113cc126820
1474b427cc24
153e2ecd774c
hex23534ed3a0

151721530272 has 480 divisors, whose sum is σ = 498659825664. Its totient is φ = 44939059200.

The previous prime is 151721530211. The next prime is 151721530297. The reversal of 151721530272 is 272035127151.

151721530272 is a `hidden beast` number, since 1 + 51 + 7 + 2 + 1 + 530 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352021897 + ... + 352022327.

Almost surely, 2151721530272 is an apocalyptic number.

151721530272 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 151721530272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249329912832).

151721530272 is an abundant number, since it is smaller than the sum of its proper divisors (346938295392).

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

151721530272 is a wasteful number, since it uses less digits than its factorization.

151721530272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 151721530272 in words is "one hundred fifty-one billion, seven hundred twenty-one million, five hundred thirty thousand, two hundred seventy-two".