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48610568448 = 2833132343547
BaseRepresentation
bin101101010001011010…
…100110100100000000
311122110202100201212000
4231101122212210000
51244023301142243
634155325104000
73340421004621
oct552132464400
9148422321760
1048610568448
1119685442612
1295076b8000
134778c51790
1424d1dada48
1513e78db5d3
hexb516a6900

48610568448 has 576 divisors, whose sum is σ = 165597358080. Its totient is φ = 13948526592.

The previous prime is 48610568437. The next prime is 48610568453. The reversal of 48610568448 is 84486501684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 48610568394 and 48610568403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88867311 + ... + 88867857.

Almost surely, 248610568448 is an apocalyptic number.

48610568448 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 48610568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82798679040).

48610568448 is an abundant number, since it is smaller than the sum of its proper divisors (116986789632).

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

48610568448 is a wasteful number, since it uses less digits than its factorization.

48610568448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 48610568448 in words is "forty-eight billion, six hundred ten million, five hundred sixty-eight thousand, four hundred forty-eight".