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48991158927360 = 221365131729
BaseRepresentation
bin10110010001110101001001…
…01000000000000000000000
320102110111202002200211000000
423020322210220000000000
522410132343141133420
6252110121104000000
713214331405662106
oct1310724450000000
9212414662624000
1048991158927360
11146790410214a1
1255b2994000000
132144b008b0610
14c15282d19c76
1559e58c161690
hex2c8ea4a00000

48991158927360 has 2464 divisors, whose sum is σ = 207947167399440. Its totient is φ = 10958609055744.

The previous prime is 48991158927299. The next prime is 48991158927397. The reversal of 48991158927360 is 6372985119984.

48991158927360 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 1 + 1 + 589 + 2 + 7 + 36 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19325097345024 + 29666061582336 = 4396032^2 + 5446656^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1689350307826 + ... + 1689350307854.

It is a 1-persistent number, because it is pandigital, but 2⋅48991158927360 = 97982317854720 is not.

Almost surely, 248991158927360 is an apocalyptic number.

48991158927360 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 48991158927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103973583699720).

48991158927360 is an abundant number, since it is smaller than the sum of its proper divisors (158956008472080).

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

48991158927360 is an frugal number, since it uses more digits than its factorization.

48991158927360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 48991158927360 in words is "forty-eight trillion, nine hundred ninety-one billion, one hundred fifty-eight million, nine hundred twenty-seven thousand, three hundred sixty".