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5605489968 = 24313174711243
BaseRepresentation
bin1010011100001110…
…01111110100110000
3112110122201101122120
411032013033310300
542440001134333
62324121034240
7255623610231
oct51607176460
915418641576
105605489968
112417175641
121105325980
136b442a290
143b2677088
1522c1aadb3
hex14e1cfd30

5605489968 has 160 divisors (see below), whose sum is σ = 16864920576. Its totient is φ = 1588629504.

The previous prime is 5605489957. The next prime is 5605489979. The reversal of 5605489968 is 8699845065.

It is an interprime number because it is at equal distance from previous prime (5605489957) and next prime (5605489979).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 492955 + ... + 504197.

Almost surely, 25605489968 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 5605489968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432460288).

5605489968 is an abundant number, since it is smaller than the sum of its proper divisors (11259430608).

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

5605489968 is a wasteful number, since it uses less digits than its factorization.

5605489968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The square root of 5605489968 is about 74869.8201413627. The cubic root of 5605489968 is about 1776.3881192584.

The spelling of 5605489968 in words is "five billion, six hundred five million, four hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 47 48 51 52 68 78 94 102 104 136 141 156 188 204 208 221 272 282 312 376 408 442 564 611 624 663 752 799 816 884 1128 1222 1326 1598 1768 1833 2256 2397 2444 2652 3196 3536 3666 4794 4888 5304 6392 7332 9588 9776 10387 10608 11243 12784 14664 19176 20774 22486 29328 31161 33729 38352 41548 44972 62322 67458 83096 89944 124644 134916 146159 166192 179888 191131 249288 269832 292318 382262 438477 498576 528421 539664 573393 584636 764524 876954 1056842 1146786 1169272 1529048 1585263 1753908 2113684 2293572 2338544 2484703 3058096 3170526 3507816 4227368 4587144 4969406 6341052 6869473 7015632 7454109 8454736 8983157 9174288 9938812 12682104 13738946 14908218 17966314 19877624 20608419 25364208 26949471 27477892 29816436 35932628 39755248 41216838 53898942 54955784 59632872 71865256 82433676 107797884 109911568 116781041 119265744 143730512 164867352 215595768 233562082 329734704 350343123 431191536 467124164 700686246 934248328 1401372492 1868496656 2802744984 5605489968