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5243776032 = 2531121932339
BaseRepresentation
bin1001110001000110…
…11010110000100000
3111112110002102102010
410320203122300200
541214401313112
62224200152520
7243642234525
oct47043326040
914473072363
105243776032
112250a7a600
121024168740
13657502371
1437a5db14c
1520a55b63c
hex1388dac20

5243776032 has 144 divisors (see below), whose sum is σ = 15214923360. Its totient is φ = 1580113920.

The previous prime is 5243776019. The next prime is 5243776037. The reversal of 5243776032 is 2306773425.

It is not an unprimeable number, because it can be changed into a prime (5243776037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2240719 + ... + 2243057.

It is an arithmetic number, because the mean of its divisors is an integer number (105659190).

Almost surely, 25243776032 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 5243776032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607461680).

5243776032 is an abundant number, since it is smaller than the sum of its proper divisors (9971147328).

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

5243776032 is a wasteful number, since it uses less digits than its factorization.

5243776032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 5243776032 is about 72413.9215344674. The cubic root of 5243776032 is about 1737.3262356600.

The spelling of 5243776032 in words is "five billion, two hundred forty-three million, seven hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 193 242 264 352 363 386 484 528 579 726 772 968 1056 1158 1452 1544 1936 2123 2316 2339 2904 3088 3872 4246 4632 4678 5808 6176 6369 7017 8492 9264 9356 11616 12738 14034 16984 18528 18712 23353 25476 25729 28068 33968 37424 46706 50952 51458 56136 67936 70059 74848 77187 93412 101904 102916 112272 140118 154374 186824 203808 205832 224544 280236 283019 308748 373648 411664 451427 560472 566038 617496 747296 823328 849057 902854 1120944 1132076 1234992 1354281 1698114 1805708 2241888 2264152 2469984 2708562 3396228 3611416 4528304 4965697 5417124 6792456 7222832 9056608 9931394 10834248 13584912 14445664 14897091 19862788 21668496 27169824 29794182 39725576 43336992 54622667 59588364 79451152 109245334 119176728 158902304 163868001 218490668 238353456 327736002 436981336 476706912 655472004 873962672 1310944008 1747925344 2621888016 5243776032