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148022652960 = 253557131723107
BaseRepresentation
bin1000100111011011010…
…1100111000000100000
3112011001221201212200000
42021312311213000200
54411122244343320
6152000051100000
713460065535040
oct2116665470040
9464057655600
10148022652960
1157859a24046
12248305a1600
1310c5ca06c20
147242d11720
153cb51e3c90
hex2276d67020

148022652960 has 2304 divisors, whose sum is σ = 718983143424. Its totient is φ = 27853258752.

The previous prime is 148022652923. The next prime is 148022652989. The reversal of 148022652960 is 69256220841.

148022652960 is a `hidden beast` number, since 1 + 48 + 0 + 2 + 26 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1383389227 + ... + 1383389333.

It is an arithmetic number, because the mean of its divisors is an integer number (312058656).

Almost surely, 2148022652960 is an apocalyptic number.

148022652960 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 148022652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359491571712).

148022652960 is an abundant number, since it is smaller than the sum of its proper divisors (570960490464).

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

148022652960 is a wasteful number, since it uses less digits than its factorization.

148022652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 148022652960 in words is "one hundred forty-eight billion, twenty-two million, six hundred fifty-two thousand, nine hundred sixty".