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680858583328 = 257111201230077
BaseRepresentation
bin10011110100001100101…
…01011000000100100000
32102002102012112200101201
421322012111120010200
542123344244131303
61240440534210544
7100122211320010
oct11720625300440
92362365480351
10680858583328
11242828a13a80
12abb561b3a54
134c2879173a1
1424d4d077c40
1512a9d8d681d
hex9e86558120

680858583328 has 96 divisors (see below), whose sum is σ = 1672597116288. Its totient is φ = 265047552000.

The previous prime is 680858583319. The next prime is 680858583337. The reversal of 680858583328 is 823385858086.

It is an interprime number because it is at equal distance from previous prime (680858583319) and next prime (680858583337).

It is a super-2 number, since 2×6808585833282 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 680858583328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2844226 + ... + 3074302.

It is an arithmetic number, because the mean of its divisors is an integer number (17422886628).

Almost surely, 2680858583328 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 680858583328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836298558144).

680858583328 is an abundant number, since it is smaller than the sum of its proper divisors (991738532960).

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

680858583328 is a wasteful number, since it uses less digits than its factorization.

680858583328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231306 (or 231298 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 64.

The spelling of 680858583328 in words is "six hundred eighty billion, eight hundred fifty-eight million, five hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1201 1232 2402 2464 4804 8407 9608 13211 16814 19216 26422 33628 38432 52844 67256 92477 105688 134512 184954 211376 230077 269024 369908 422752 460154 739816 920308 1479632 1610539 1840616 2530847 2959264 3221078 3681232 5061694 6442156 7362464 10123388 12884312 17715929 20246776 25768624 35431858 40493552 51537248 70863716 80987104 141727432 276322477 283454864 552644954 566909728 1105289908 1934257339 2210579816 3039547247 3868514678 4421159632 6079094494 7737029356 8842319264 12158188988 15474058712 21276830729 24316377976 30948117424 42553661458 48632755952 61896234848 85107322916 97265511904 170214645832 340429291664 680858583328