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148179900960 = 25335713376933
BaseRepresentation
bin1000101000000000110…
…1011101101000100000
3112011110220121220101000
42022000031131220200
54411433023312320
6152023425312000
713464015243030
oct2120015355040
9464426556330
10148179900960
115792a766873
1224875195600
1310c86472b90
147259b658c0
153cc3e05c90
hex228035da20

148179900960 has 384 divisors, whose sum is σ = 638315112960. Its totient is φ = 31264247808.

The previous prime is 148179900959. The next prime is 148179900991. The reversal of 148179900960 is 69009971841.

148179900960 is a `hidden beast` number, since 1 + 481 + 79 + 9 + 0 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 148179900897 and 148179900906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204654 + ... + 581586.

It is an arithmetic number, because the mean of its divisors is an integer number (1662278940).

Almost surely, 2148179900960 is an apocalyptic number.

148179900960 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 148179900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319157556480).

148179900960 is an abundant number, since it is smaller than the sum of its proper divisors (490135212000).

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

148179900960 is a wasteful number, since it uses less digits than its factorization.

148179900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376977 (or 376963 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 148179900960 in words is "one hundred forty-eight billion, one hundred seventy-nine million, nine hundred thousand, nine hundred sixty".