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48897813888 = 2733711192509
BaseRepresentation
bin101101100010100010…
…010110110110000000
311200012202212022112000
4231202202112312000
51300120320021023
634244025504000
73350506363110
oct554242266600
9150182768460
1048897813888
11198125a5340
129587942000
1347c3604cb1
14251c1c3040
151412c2b243
hexb62896d80

48897813888 has 768 divisors, whose sum is σ = 190268352000. Its totient is φ = 12008632320.

The previous prime is 48897813883. The next prime is 48897813901. The reversal of 48897813888 is 88831879884.

48897813888 is a `hidden beast` number, since 4 + 88 + 97 + 81 + 388 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48897813883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96066178 + ... + 96066686.

It is an arithmetic number, because the mean of its divisors is an integer number (247745250).

Almost surely, 248897813888 is an apocalyptic number.

48897813888 is a gapful number since it is divisible by the number (48) 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 48897813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95134176000).

48897813888 is an abundant number, since it is smaller than the sum of its proper divisors (141370538112).

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

48897813888 is a wasteful number, since it uses less digits than its factorization.

48897813888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 551 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 72.

The spelling of 48897813888 in words is "forty-eight billion, eight hundred ninety-seven million, eight hundred thirteen thousand, eight hundred eighty-eight".