Search a number
-
+
148868052480 = 2932572294547
BaseRepresentation
bin1000101010100100111…
…0100011011000000000
3112020020212111121210100
42022221032203120000
54414340210134410
6152220011002400
713520042365500
oct2125116433000
9466225447710
10148868052480
1158153153234
1224a27739400
1311065bc4224
1472c32d7a00
153d145378c0
hex22a93a3600

148868052480 has 720 divisors, whose sum is σ = 620564321520. Its totient is φ = 32846413824.

The previous prime is 148868052467. The next prime is 148868052481. The reversal of 148868052480 is 84250868841.

148868052480 is a `hidden beast` number, since 1 + 4 + 8 + 86 + 80 + 5 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148868052481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32737567 + ... + 32742113.

It is an arithmetic number, because the mean of its divisors is an integer number (861894891).

Almost surely, 2148868052480 is an apocalyptic number.

148868052480 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 148868052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310282160760).

148868052480 is an abundant number, since it is smaller than the sum of its proper divisors (471696269040).

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

148868052480 is a wasteful number, since it uses less digits than its factorization.

148868052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 148868052480 in words is "one hundred forty-eight billion, eight hundred sixty-eight million, fifty-two thousand, four hundred eighty".