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5682273768 = 233410980449
BaseRepresentation
bin1010100101011000…
…01001110111101000
3112200000012102020000
411102230021313220
543114130230033
62335502503000
7260545346553
oct52254116750
915600172200
105682273768
11245654a426
121126b94a60
136c7302792
143bc94369a
15233cc6a13
hex152b09de8

5682273768 has 80 divisors (see below), whose sum is σ = 16061842500. Its totient is φ = 1876690944.

The previous prime is 5682273767. The next prime is 5682273827. The reversal of 5682273768 is 8673722865.

5682273768 is a `hidden beast` number, since 568 + 2 + 2 + 7 + 3 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5663766564 + 18507204 = 75258^2 + 4302^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5682273767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30408 + ... + 110856.

Almost surely, 25682273768 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 5682273768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030921250).

5682273768 is an abundant number, since it is smaller than the sum of its proper divisors (10379568732).

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

5682273768 is a wasteful number, since it uses less digits than its factorization.

5682273768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80576 (or 80563 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 5682273768 is about 75380.8581007141. The cubic root of 5682273768 is about 1784.4623308239.

The spelling of 5682273768 in words is "five billion, six hundred eighty-two million, two hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2616 2943 3924 5886 7848 8829 11772 17658 23544 35316 70632 80449 160898 241347 321796 482694 643592 724041 965388 1448082 1930776 2172123 2896164 4344246 5792328 6516369 8688492 8768941 13032738 17376984 17537882 26065476 26306823 35075764 52130952 52613646 70151528 78920469 105227292 157840938 210454584 236761407 315681876 473522814 631363752 710284221 947045628 1420568442 1894091256 2841136884 5682273768