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680628971280 = 24353319199323
BaseRepresentation
bin10011110011110001010…
…01011110011100010000
32102001211012111011212210
421321320221132130100
542122412004040110
61240402052552120
7100113422541066
oct11717051363420
92361735434783
10680628971280
11242720346055
12abab1322640
134c24c19287b
1424d2a788036
1512a8867d520
hex9e78a5e710

680628971280 has 160 divisors (see below), whose sum is σ = 2118854384640. Its totient is φ = 180736427520.

The previous prime is 680628971251. The next prime is 680628971291. The reversal of 680628971280 is 82179826086.

680628971280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 680628971280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73000699 + ... + 73010021.

It is an arithmetic number, because the mean of its divisors is an integer number (13242839904).

Almost surely, 2680628971280 is an apocalyptic number.

680628971280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680628971280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059427192320).

680628971280 is an abundant number, since it is smaller than the sum of its proper divisors (1438225413360).

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

680628971280 is a wasteful number, since it uses less digits than its factorization.

680628971280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10589 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 680628971280 in words is "six hundred eighty billion, six hundred twenty-eight million, nine hundred seventy-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 919 993 1324 1655 1838 1986 2648 2757 3310 3676 3972 4595 4965 5296 5514 6620 7352 7944 9190 9323 9930 11028 13240 13785 14704 15888 18380 18646 19860 22056 26480 27570 27969 36760 37292 39720 44112 46615 55140 55938 73520 74584 79440 93230 110280 111876 139845 149168 186460 220560 223752 279690 304189 372920 447504 559380 608378 745840 912567 1118760 1216756 1520945 1825134 2237520 2433512 3041890 3085913 3650268 4562835 4867024 6083780 6171826 7300536 8567837 9125670 9257739 12167560 12343652 14601072 15429565 17135674 18251340 18515478 24335120 24687304 25703511 30859130 34271348 36502680 37030956 42839185 46288695 49374608 51407022 61718260 68542696 73005360 74061912 85678370 92577390 102814044 123436520 128517555 137085392 148123824 171356740 185154780 205628088 246873040 257035110 342713480 370309560 411256176 514070220 685426960 740619120 1028140440 2056280880 2835954047 5671908094 8507862141 11343816188 14179770235 17015724282 22687632376 28359540470 34031448564 42539310705 45375264752 56719080940 68062897128 85078621410 113438161880 136125794256 170157242820 226876323760 340314485640 680628971280