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48268805824512 = 213337213219273
BaseRepresentation
bin10101111100110011101010…
…00001100110000000000000
320022220110020001220010202000
422332121311001212000000
522311314003242341022
6250354214442024000
713111210001630400
oct1276316501460000
9208813201803660
1048268805824512
111441a75a582889
1254b69994a8000
1320c19623c0100
14bcc318dda800
1558a8b097c6ac
hex2be675066000

48268805824512 has 3024 divisors, whose sum is σ = 192724116486480. Its totient is φ = 11895013638144.

The previous prime is 48268805824429. The next prime is 48268805824517. The reversal of 48268805824512 is 21542850886284.

48268805824512 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 8 + 8 + 0 + 582 + 45 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×482688058245122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 48268805824512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48268805824517) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 661216518108 + ... + 661216518180.

Almost surely, 248268805824512 is an apocalyptic number.

48268805824512 is a gapful number since it is divisible by the number (42) 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 48268805824512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96362058243240).

48268805824512 is an abundant number, since it is smaller than the sum of its proper divisors (144455310661968).

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

48268805824512 is a wasteful number, since it uses less digits than its factorization.

48268805824512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 78643200, while the sum is 63.

The spelling of 48268805824512 in words is "forty-eight trillion, two hundred sixty-eight billion, eight hundred five million, eight hundred twenty-four thousand, five hundred twelve".