Search a number
-
+
148132302528 = 26372937591741
BaseRepresentation
bin1000100111110101011…
…1111000111011000000
3112011100121001122121010
42021331113320323000
54411333332140103
6152015005200520
713462566540060
oct2117527707300
9464317048533
10148132302528
1157905906421
1224861260140
1310c79648922
1472536d53a0
153cbeb52903
hex227d5f8ec0

148132302528 has 448 divisors, whose sum is σ = 484236979200. Its totient is φ = 39063306240.

The previous prime is 148132302509. The next prime is 148132302547. The reversal of 148132302528 is 825203231841.

It is an interprime number because it is at equal distance from previous prime (148132302509) and next prime (148132302547).

It is a tau number, because it is divible by the number of its divisors (448).

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, 85083738 + ... + 85085478.

Almost surely, 2148132302528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148132302528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242118489600).

148132302528 is an abundant number, since it is smaller than the sum of its proper divisors (336104676672).

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

148132302528 is a wasteful number, since it uses less digits than its factorization.

148132302528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 148132302528 in words is "one hundred forty-eight billion, one hundred thirty-two million, three hundred two thousand, five hundred twenty-eight".