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56748000780 = 223254159312967
BaseRepresentation
bin110100110110011100…
…011100011000001100
312102110212101010110200
4310312130130120030
51412204442011110
642023014333500
74046161022262
oct646634343014
9172425333420
1056748000780
11220808489a9
12abb895a290
135474ab32b3
142a64a10432
151721ed26c0
hexd3671c60c

56748000780 has 144 divisors (see below), whose sum is σ = 176645012544. Its totient is φ = 14737674240.

The previous prime is 56748000779. The next prime is 56748000791. The reversal of 56748000780 is 8700084765.

56748000780 is a `hidden beast` number, since 567 + 4 + 8 + 0 + 0 + 0 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 4369857 + ... + 4382823.

It is an arithmetic number, because the mean of its divisors is an integer number (1226701476).

Almost surely, 256748000780 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 56748000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88322506272).

56748000780 is an abundant number, since it is smaller than the sum of its proper divisors (119897011764).

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

56748000780 is a wasteful number, since it uses less digits than its factorization.

56748000780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616 (or 13611 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 56748000780 in words is "fifty-six billion, seven hundred forty-eight million, seven hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 593 615 738 820 1186 1230 1476 1779 1845 2372 2460 2965 3558 3690 5337 5930 7116 7380 8895 10674 11860 12967 17790 21348 24313 25934 26685 35580 38901 48626 51868 53370 64835 72939 77802 97252 106740 116703 121565 129670 145878 155604 194505 218817 233406 243130 259340 291756 364695 389010 437634 466812 486260 531647 583515 729390 778020 875268 1063294 1094085 1167030 1458780 1594941 2126588 2188170 2334060 2658235 3189882 4376340 4784823 5316470 6379764 7689431 7974705 9569646 10632940 15378862 15949410 19139292 23068293 23924115 30757724 31898820 38447155 46136586 47848230 69204879 76894310 92273172 95696460 115341465 138409758 153788620 230682930 276819516 315266671 346024395 461365860 630533342 692048790 945800013 1261066684 1384097580 1576333355 1891600026 2837400039 3152666710 3783200052 4729000065 5674800078 6305333420 9458000130 11349600156 14187000195 18916000260 28374000390 56748000780