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680369495688 = 233253691258023
BaseRepresentation
bin10011110011010010010…
…11101001111010001000
32102001011010020110021200
421321221023221322020
542121344042330223
61240320223304200
7100104122202351
oct11715113517210
92361133213250
10680369495688
112425a7930213
12aba3a44b060
134c20a4b320c
1424d04122d28
1512a709c6a43
hex9e692e9e88

680369495688 has 96 divisors (see below), whose sum is σ = 1880158962240. Its totient is φ = 222187904640.

The previous prime is 680369495651. The next prime is 680369495723. The reversal of 680369495688 is 886594963086.

680369495688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2507845 + ... + 2765867.

It is an arithmetic number, because the mean of its divisors is an integer number (19584989190).

Almost surely, 2680369495688 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 680369495688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940079481120).

680369495688 is an abundant number, since it is smaller than the sum of its proper divisors (1199789466552).

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

680369495688 is a wasteful number, since it uses less digits than its factorization.

680369495688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258779 (or 258772 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 680369495688 in words is "six hundred eighty billion, three hundred sixty-nine million, four hundred ninety-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 691 954 1272 1382 1908 2073 2764 3816 4146 5528 6219 8292 12438 16584 24876 36623 49752 73246 109869 146492 219738 258023 292984 329607 439476 516046 659214 774069 878952 1032092 1318428 1548138 2064184 2322207 2636856 3096276 4644414 6192552 9288828 13675219 18577656 27350438 41025657 54700876 82051314 109401752 123076971 164102628 178293893 246153942 328205256 356587786 492307884 534881679 713175572 984615768 1069763358 1426351144 1604645037 2139526716 3209290074 4279053432 6418580148 9449576329 12837160296 18899152658 28348728987 37798305316 56697457974 75596610632 85046186961 113394915948 170092373922 226789831896 340184747844 680369495688