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48636568368 = 24331021110269
BaseRepresentation
bin101101010010111101…
…110010001100110000
311122112120021200001000
4231102331302030300
51244101430141433
634202054242000
73341155003263
oct552275621460
9148476250030
1048636568368
1119699090753
129514356300
134781455b4b
1424d561acda
1513e9d25113
hexb52f72330

48636568368 has 80 divisors (see below), whose sum is σ = 139742965600. Its totient is φ = 16196163840.

The previous prime is 48636568349. The next prime is 48636568469. The reversal of 48636568368 is 86386563684.

48636568368 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 6 + 568 + 3 + 68 = 666.

48636568368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2205372-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385938 + ... + 496206.

It is an arithmetic number, because the mean of its divisors is an integer number (1746787070).

Almost surely, 248636568368 is an apocalyptic number.

48636568368 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 48636568368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69871482800).

48636568368 is an abundant number, since it is smaller than the sum of its proper divisors (91106397232).

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

48636568368 is a wasteful number, since it uses less digits than its factorization.

48636568368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111307 (or 111295 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 48636568368 in words is "forty-eight billion, six hundred thirty-six million, five hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1021 2042 3063 4084 6126 8168 9189 12252 16336 18378 24504 27567 36756 49008 55134 73512 110268 110269 147024 220536 220538 330807 441072 441076 661614 882152 992421 1323228 1764304 1984842 2646456 2977263 3969684 5292912 5954526 7939368 11909052 15878736 23818104 47636208 112584649 225169298 337753947 450338596 675507894 900677192 1013261841 1351015788 1801354384 2026523682 2702031576 3039785523 4053047364 5404063152 6079571046 8106094728 12159142092 16212189456 24318284184 48636568368