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48698240256000 = 2113353172931461
BaseRepresentation
bin10110001001010011100010…
…10011111100100000000000
320101102111200002112112222000
423010221301103330200000
522340332444001143000
6251323355052144000
713154221535234436
oct1304516123744000
9211374602475860
1048698240256000
1114575898078215
125566066168000
1321232bbb919ca
14c05016464d56
15596b464d4000
hex2c4a714fc800

48698240256000 has 3072 divisors, whose sum is σ = 203997201408000. Its totient is φ = 11395399680000.

The previous prime is 48698240255993. The next prime is 48698240256007. The reversal of 48698240256000 is 65204289684.

48698240256000 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 8 + 2 + 4 + 0 + 25 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48698240255993) and next prime (48698240256007).

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is not an unprimeable number, because it can be changed into a prime (48698240256007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 105636095770 + ... + 105636096230.

It is an arithmetic number, because the mean of its divisors is an integer number (66405339000).

Almost surely, 248698240256000 is an apocalyptic number.

48698240256000 is a gapful number since it is divisible by the number (40) 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 48698240256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101998600704000).

48698240256000 is an abundant number, since it is smaller than the sum of its proper divisors (155298961152000).

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

48698240256000 is a wasteful number, since it uses less digits than its factorization.

48698240256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48698240256000 in words is "forty-eight trillion, six hundred ninety-eight billion, two hundred forty million, two hundred fifty-six thousand".