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680212072896 = 26323571269761
BaseRepresentation
bin10011110010111111100…
…11001000100111000000
32102000202011000112210220
421321133303020213000
542121033242313041
61240252441223040
7100100201135646
oct11713763104700
92360664015726
10680212072896
11242526a89134
12ab9b5791a80
134c1b39b5835
1424ccb265196
1512a61c7cd66
hex9e5fcc89c0

680212072896 has 112 divisors (see below), whose sum is σ = 1881272709888. Its totient is φ = 216498585600.

The previous prime is 680212072877. The next prime is 680212072927. The reversal of 680212072896 is 698270212086.

680212072896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6802120728962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 2386656 + ... + 2656416.

Almost surely, 2680212072896 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 680212072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940636354944).

680212072896 is an abundant number, since it is smaller than the sum of its proper divisors (1201060636992).

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

680212072896 is a wasteful number, since it uses less digits than its factorization.

680212072896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270370 (or 270360 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 680212072896 in words is "six hundred eighty billion, two hundred twelve million, seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 571 736 1104 1142 1472 1713 2208 2284 3426 4416 4568 6852 9136 13133 13704 18272 26266 27408 36544 39399 52532 54816 78798 105064 109632 157596 210128 269761 315192 420256 539522 630384 809283 840512 1079044 1260768 1618566 2158088 2521536 3237132 4316176 6204503 6474264 8632352 12409006 12948528 17264704 18613509 24818012 25897056 37227018 49636024 51794112 74454036 99272048 148908072 154033531 198544096 297816144 308067062 397088192 462100593 595632288 616134124 924201186 1191264576 1232268248 1848402372 2464536496 3542771213 3696804744 4929072992 7085542426 7393609488 9858145984 10628313639 14171084852 14787218976 21256627278 28342169704 29574437952 42513254556 56684339408 85026509112 113368678816 170053018224 226737357632 340106036448 680212072896