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5694084067984 = 2413210924212
BaseRepresentation
bin101001011011100000111…
…0110111011001010010000
3202011100102111202001001221
41102313001312323022100
51221242441010133414
620035454234534424
71125245465665354
oct122670166731220
922140374661057
105694084067984
1118a5936014944
1277b675297414
13323c469bb300
141598490c3464
159d1b224a224
hex52dc1dbb290

5694084067984 has 135 divisors (see below), whose sum is σ = 12085515448209. Its totient is φ = 2597743249920.

The previous prime is 5694084067967. The next prime is 5694084068039. The reversal of 5694084067984 is 4897604804965.

The square root of 5694084067984 is 2386228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5613582490000 + 80501577984 = 2369300^2 + 283728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13525140094 + ... + 13525140514.

Almost surely, 25694084067984 is an apocalyptic number.

5694084067984 is the 2386228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5694084067984

5694084067984 is an abundant number, since it is smaller than the sum of its proper divisors (6391431380225).

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

5694084067984 is an equidigital number, since it uses as much as digits as its factorization.

5694084067984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 70.

The spelling of 5694084067984 in words is "five trillion, six hundred ninety-four billion, eighty-four million, sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 169 208 218 338 421 436 676 842 872 1352 1417 1684 1744 2704 2834 3368 5473 5668 6736 10946 11336 11881 18421 21892 22672 23762 36842 43784 45889 47524 71149 73684 87568 91778 95048 142298 147368 154453 177241 183556 190096 284596 294736 308906 354482 367112 569192 596557 617812 708964 734224 1138384 1193114 1235624 1417928 2007889 2304133 2386228 2471248 2835856 4015778 4608266 4772456 5001901 7755241 8031556 9216532 9544912 10003802 15510482 16063112 18433064 19319269 20007604 29953729 31020964 32126224 36866128 38638538 40015208 59907458 62041928 65024713 77277076 80030416 119814916 124083856 130049426 154554152 239629832 251150497 260098852 309108304 479259664 502300994 520197704 845321269 1004601988 1040395408 1690642538 2009203976 2105800321 3264956461 3381285076 4018407952 4211600642 6529912922 6762570152 8423201284 13059825844 13525140304 16846402568 26119651688 27375404173 33692805136 52239303376 54750808346 109501616692 219003233384 355880254249 438006466768 711760508498 1423521016996 2847042033992 5694084067984