Search a number
-
+
6821943248440 = 2351722920349431
BaseRepresentation
bin110001101000101101110…
…0000010000011000111000
3220011011121221202210212001
41203101123200100120320
51343232314432422230
622301542451230344
71302604053564355
oct143213340203070
926134557683761
106821943248440
1121a0196130511
1292217aba83b4
133a63ca47ac38
1419828056162c
15bc6c38e80ca
hex6345b810638

6821943248440 has 96 divisors (see below), whose sum is σ = 16867644184800. Its totient is φ = 2479700142080.

The previous prime is 6821943248437. The next prime is 6821943248443. The reversal of 6821943248440 is 448423491286.

It is an interprime number because it is at equal distance from previous prime (6821943248437) and next prime (6821943248443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6821943248443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9839476 + ... + 10509955.

It is an arithmetic number, because the mean of its divisors is an integer number (175704626925).

Almost surely, 26821943248440 is an apocalyptic number.

It is an amenable number.

6821943248440 is an abundant number, since it is smaller than the sum of its proper divisors (10045700936360).

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

6821943248440 is a wasteful number, since it uses less digits than its factorization.

6821943248440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20349505 (or 20349484 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 6821943248440 in words is "six trillion, eight hundred twenty-one billion, nine hundred forty-three million, two hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 289 290 340 493 578 580 680 986 1156 1160 1445 1972 2312 2465 2890 3944 4930 5780 8381 9860 11560 16762 19720 33524 41905 67048 83810 167620 335240 20349431 40698862 81397724 101747155 162795448 203494310 345940327 406988620 590133499 691880654 813977240 1180266998 1383761308 1729701635 2360533996 2767522616 2950667495 3459403270 4721067992 5880985559 5901334990 6918806540 10032269483 11761971118 11802669980 13837613080 20064538966 23523942236 23605339960 29404927795 40129077932 47047884472 50161347415 58809855590 80258155864 100322694830 117619711180 170548581211 200645389660 235239422360 341097162422 401290779320 682194324844 852742906055 1364388649688 1705485812110 3410971624220 6821943248440