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148813790503680 = 283251031575711399
BaseRepresentation
bin100001110101100001101001…
…000111101110001100000000
3201111220110101221000212002200
4201311201221013232030000
5124001131120332104210
61244300040033513200
743226304312330411
oct4165415107561400
9644813357025080
10148813790503680
1143464635198755
1214835139412800
13650610735c573
1428a68a9633808
151230ec52940c0
hex8758691ee300

148813790503680 has 864 divisors, whose sum is σ = 524481282124800. Its totient is φ = 38951842775040.

The previous prime is 148813790503663. The next prime is 148813790503691. The reversal of 148813790503680 is 86305097318841.

148813790503680 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 1 + 37 + 90 + 503 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106371543621 + ... + 106371545019.

Almost surely, 2148813790503680 is an apocalyptic number.

148813790503680 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 148813790503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262240641062400).

148813790503680 is an abundant number, since it is smaller than the sum of its proper divisors (375667491621120).

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

148813790503680 is a wasteful number, since it uses less digits than its factorization.

148813790503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 148813790503680 in words is "one hundred forty-eight trillion, eight hundred thirteen billion, seven hundred ninety million, five hundred three thousand, six hundred eighty".