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148880047680 = 26345721371127
BaseRepresentation
bin1000101010100111110…
…0010011111001000000
3112020021201002001010000
42022221330103321000
54414401243011210
6152221120040000
713520246345100
oct2125174237100
9466251061100
10148880047680
11581599a6421
1224a2b763000
1311068533c90
1472c4b3b200
153d15606ac0
hex22a9f13e40

148880047680 has 1680 divisors, whose sum is σ = 678087438336. Its totient is φ = 30725775360.

The previous prime is 148880047669. The next prime is 148880047703. The reversal of 148880047680 is 86740088841.

148880047680 is a `hidden beast` number, since 1 + 488 + 80 + 0 + 4 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 239 ways as a sum of consecutive naturals, for example, 1172283777 + ... + 1172283903.

Almost surely, 2148880047680 is an apocalyptic number.

148880047680 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 148880047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339043719168).

148880047680 is an abundant number, since it is smaller than the sum of its proper divisors (529207390656).

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

148880047680 is a wasteful number, since it uses less digits than its factorization.

148880047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 148880047680 in words is "one hundred forty-eight billion, eight hundred eighty million, forty-seven thousand, six hundred eighty".