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48048048832 = 267143974531
BaseRepresentation
bin101100101111111000…
…110000101011000000
311121000112212210000011
4230233320300223000
51241400300030312
634023432234304
73320450451010
oct545770605300
9147015783004
1048048048832
1119416964273
12938b23b994
1346b9549934
14247b3c1c40
1513b3323da7
hexb2fe30ac0

48048048832 has 56 divisors (see below), whose sum is σ = 109043297280. Its totient is φ = 20577434880.

The previous prime is 48048048761. The next prime is 48048048847. The reversal of 48048048832 is 23884084084.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×480480488323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607407 + ... + 681937.

Almost surely, 248048048832 is an apocalyptic number.

It is an amenable number.

48048048832 is an abundant number, since it is smaller than the sum of its proper divisors (60995248448).

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

48048048832 is a wasteful number, since it uses less digits than its factorization.

48048048832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75989 (or 75979 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 49.

It can be divided in two parts, 4804804 and 8832, that added together give a square (4813636 = 21942).

The spelling of 48048048832 in words is "forty-eight billion, forty-eight million, forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1439 2878 5756 10073 11512 20146 23024 40292 46048 74531 80584 92096 149062 161168 298124 322336 521717 596248 644672 1043434 1192496 2086868 2384992 4173736 4769984 8347472 16694944 33389888 107250109 214500218 429000436 750750763 858000872 1501501526 1716001744 3003003052 3432003488 6006006104 6864006976 12012012208 24024024416 48048048832