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48737863936 = 286126311867
BaseRepresentation
bin101101011001000000…
…001100100100000000
311122210121220000102201
4231121000030210000
51244303343121221
634220113322544
73343525002526
oct553100144400
9148717800381
1048737863936
11197402875a3
129542266454
134799431258
142504c68316
151403b83891
hexb5900c900

48737863936 has 72 divisors (see below), whose sum is σ = 99264521664. Its totient is φ = 23876290560.

The previous prime is 48737863921. The next prime is 48737863943. The reversal of 48737863936 is 63936873784.

It is a super-3 number, since 3×487378639363 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4101075 + ... + 4112941.

It is an arithmetic number, because the mean of its divisors is an integer number (1378673912).

Almost surely, 248737863936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48737863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49632260832).

48737863936 is an abundant number, since it is smaller than the sum of its proper divisors (50526657728).

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

48737863936 is a wasteful number, since it uses less digits than its factorization.

48737863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207 (or 12193 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 64.

It can be divided in two parts, 48737 and 863936, that added together give a cube (912673 = 973).

The spelling of 48737863936 in words is "forty-eight billion, seven hundred thirty-seven million, eight hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 263 488 526 976 1052 1952 2104 3904 4208 7808 8416 11867 15616 16043 16832 23734 32086 33664 47468 64172 67328 94936 128344 189872 256688 379744 513376 723887 759488 1026752 1447774 1518976 2053504 2895548 3037952 3121021 4107008 5791096 6242042 11582192 12484084 23164384 24968168 46328768 49936336 92657536 99872672 185315072 190382281 199745344 380764562 399490688 761529124 798981376 1523058248 3046116496 6092232992 12184465984 24368931968 48737863936