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682428181344 = 25371326008983
BaseRepresentation
bin10011110111000111110…
…00111010101101100000
32102020110121000112002120
421323203320322231200
542140103103300334
61241300404144240
7100206130555350
oct11734370725540
92366417015076
10682428181344
11243463a10218
12b0313998080
134c477b67200
142505b6d6b60
1512b415cc949
hex9ee3e3ab60

682428181344 has 144 divisors (see below), whose sum is σ = 2216882449152. Its totient is φ = 179981028864.

The previous prime is 682428181291. The next prime is 682428181363. The reversal of 682428181344 is 443181824286.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2890924 + ... + 3118059.

It is an arithmetic number, because the mean of its divisors is an integer number (15395017008).

Almost surely, 2682428181344 is an apocalyptic number.

It is an amenable number.

682428181344 is an abundant number, since it is smaller than the sum of its proper divisors (1534454267808).

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

682428181344 is a wasteful number, since it uses less digits than its factorization.

682428181344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009029 (or 6009008 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 682428181344 in words is "six hundred eighty-two billion, four hundred twenty-eight million, one hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 14196 16224 18928 28392 37856 56784 113568 6008983 12017966 18026949 24035932 36053898 42062881 48071864 72107796 78116779 84125762 96143728 126188643 144215592 156233558 168251524 192287456 234350337 252377286 288431184 312467116 336503048 468700674 504754572 546817453 576862368 624934232 673006096 937401348 1009509144 1015518127 1093634906 1249868464 1346012192 1640452359 1874802696 2019018288 2031036254 2187269812 2499736928 3046554381 3280904718 3749605392 4038036576 4062072508 4374539624 6093108762 6561809436 7108626889 7499210784 8124145016 8749079248 12186217524 13123618872 14217253778 16248290032 17498158496 21325880667 24372435048 26247237744 28434507556 32496580064 42651761334 48744870096 52494475488 56869015112 85303522668 97489740192 113738030224 170607045336 227476060448 341214090672 682428181344