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148376820384 = 25331319719967
BaseRepresentation
bin1000101000101111110…
…0101001101010100000
3112011222122011110001000
42022023330221222200
54412333431223014
6152055142112000
713501626110112
oct2121374515240
9464878143030
10148376820384
1157a209352a1
122490b11b600
1310cb81bbc50
147277d853b2
153cd6352509
hex228bf29aa0

148376820384 has 384 divisors, whose sum is σ = 491774976000. Its totient is φ = 43146722304.

The previous prime is 148376820379. The next prime is 148376820409. The reversal of 148376820384 is 483028673841.

148376820384 is a `hidden beast` number, since 1 + 483 + 7 + 6 + 82 + 0 + 3 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148376820384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153439869 + ... + 153440835.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664000).

Almost surely, 2148376820384 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 148376820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488000).

148376820384 is an abundant number, since it is smaller than the sum of its proper divisors (343398155616).

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

148376820384 is a wasteful number, since it uses less digits than its factorization.

148376820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 148376820384 in words is "one hundred forty-eight billion, three hundred seventy-six million, eight hundred twenty thousand, three hundred eighty-four".