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4965665694 = 231117191092137
BaseRepresentation
bin1001001111111101…
…00000101110011110
3110211001202221202020
410213332200232132
540132202300234
62140423241010
7234024314313
oct44776405636
913731687666
104965665694
112118a97150
12b66ba9166
136119c9b32
143516c4d0a
151e0e23549
hex127fa0b9e

4965665694 has 128 divisors (see below), whose sum is σ = 12191731200. Its totient is φ = 1328762880.

The previous prime is 4965665689. The next prime is 4965665699.

4965665694 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4965665689) and next prime (4965665699).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965665699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2322594 + ... + 2324730.

It is an arithmetic number, because the mean of its divisors is an integer number (95247900).

Almost surely, 24965665694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4965665694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095865600).

4965665694 is an abundant number, since it is smaller than the sum of its proper divisors (7226065506).

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

4965665694 is a wasteful number, since it uses less digits than its factorization.

4965665694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298.

The product of its digits is 41990400, while the sum is 60.

The square root of 4965665694 is about 70467.4796909894. The cubic root of 4965665694 is about 1706.0528974214.

The spelling of 4965665694 in words is "four billion, nine hundred sixty-five million, six hundred sixty-five thousand, six hundred ninety-four".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 109 114 187 209 218 323 327 374 418 561 627 646 654 969 1122 1199 1254 1853 1938 2071 2137 2398 3553 3597 3706 4142 4274 5559 6213 6411 7106 7194 10659 11118 12426 12822 20383 21318 22781 23507 35207 36329 40603 40766 45562 47014 61149 68343 70414 70521 72658 81206 105621 108987 121809 122298 136686 141042 211242 217974 232933 243618 387277 399619 446633 465866 690251 698799 774554 799238 893266 1161831 1198857 1339899 1380502 1397598 2070753 2323662 2397714 2562263 2679798 3959861 4141506 4425727 5124526 7592761 7686789 7919722 8851454 11879583 13277181 15185522 15373578 22778283 23759166 26554362 43558471 45556566 48682997 75237359 87116942 97365994 130675413 146048991 150474718 225712077 261350826 292097982 451424154 827610949 1655221898 2482832847 4965665694