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5678456832 = 2133325673
BaseRepresentation
bin1010100100111011…
…00110000000000000
3112122202000111101000
411102131212000000
543112141104312
62335245012000
7260501041506
oct52235460000
915582014330
105678456832
112454382734
121125854000
136c6597339
143bc22c676
152337c0adc
hex152766000

5678456832 has 112 divisors (see below), whose sum is σ = 16824685680. Its totient is φ = 1892745216.

The previous prime is 5678456801. The next prime is 5678456851. The reversal of 5678456832 is 2386548765.

5678456832 is a `hidden beast` number, since 5 + 6 + 78 + 4 + 568 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 208348 + ... + 234020.

Almost surely, 25678456832 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 5678456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412342840).

5678456832 is an abundant number, since it is smaller than the sum of its proper divisors (11146228848).

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

5678456832 is an equidigital number, since it uses as much as digits as its factorization.

5678456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25708 (or 25678 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 5678456832 is about 75355.5361735288. The cubic root of 5678456832 is about 1784.0626842245.

The spelling of 5678456832 in words is "five billion, six hundred seventy-eight million, four hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 18432 24576 25673 27648 36864 51346 55296 73728 77019 102692 110592 154038 205384 221184 231057 308076 410768 462114 616152 693171 821536 924228 1232304 1386342 1643072 1848456 2464608 2772684 3286144 3696912 4929216 5545368 6572288 7393824 9858432 11090736 13144576 14787648 19716864 22181472 26289152 29575296 39433728 44362944 52578304 59150592 78867456 88725888 105156608 118301184 157734912 177451776 210313216 236602368 315469824 354903552 473204736 630939648 709807104 946409472 1419614208 1892818944 2839228416 5678456832