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148869218304 = 218361941
BaseRepresentation
bin1000101010100101001…
…1000000000000000000
3112020020221200212000000
42022221103000000000
54414341004441204
6152220052000000
713520055322422
oct2125123000000
9466227625000
10148869218304
115815387a124
1224a28000000
1311066211a71
1472c351c812
153d146b8039
hex22a94c0000

148869218304 has 532 divisors, whose sum is σ = 481358380440. Its totient is φ = 45864714240.

The previous prime is 148869218287. The next prime is 148869218321. The reversal of 148869218304 is 403812968841.

It is a happy number.

148869218304 is a `hidden beast` number, since 1 + 48 + 86 + 9 + 218 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (148869218287) and next prime (148869218321).

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3630956524 + ... + 3630956564.

Almost surely, 2148869218304 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 148869218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240679190220).

148869218304 is an abundant number, since it is smaller than the sum of its proper divisors (332489162136).

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

148869218304 is an frugal number, since it uses more digits than its factorization.

148869218304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 148869218304 in words is "one hundred forty-eight billion, eight hundred sixty-nine million, two hundred eighteen thousand, three hundred four".