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48731880960 = 29355719231
BaseRepresentation
bin101101011000101001…
…010111111000000000
311122210012122001100000
4231120221113320000
51244300330142320
634215341200000
73343423103460
oct553051277000
9148705561300
1048731880960
1119737970494
129540260000
134798117c29
14250414bba0
1514033a0c90
hexb58a57e00

48731880960 has 1440 divisors, whose sum is σ = 217918052352. Its totient is φ = 10212065280.

The previous prime is 48731880943. The next prime is 48731880997. The reversal of 48731880960 is 6908813784.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×487318809602 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48731880897 and 48731880906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1571996145 + ... + 1571996175.

Almost surely, 248731880960 is an apocalyptic number.

48731880960 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 48731880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108959026176).

48731880960 is an abundant number, since it is smaller than the sum of its proper divisors (169186171392).

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

48731880960 is an equidigital number, since it uses as much as digits as its factorization.

48731880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 48731880960 in words is "forty-eight billion, seven hundred thirty-one million, eight hundred eighty thousand, nine hundred sixty".