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4194437364 = 2233132376211
BaseRepresentation
bin1111101000000010…
…0000100011110100
3101211022120111101000
43322000200203310
532042233443424
61532113203300
7205641062235
oct37200404364
911738514330
104194437364
111862717967
12990860530
1351acabb00
142bb0c908c
151983813c9
hexfa0208f4

4194437364 has 144 divisors (see below), whose sum is σ = 12095509440. Its totient is φ = 1255512960.

The previous prime is 4194437339. The next prime is 4194437371. The reversal of 4194437364 is 4637344914.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 672219 + ... + 678429.

Almost surely, 24194437364 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 4194437364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047754720).

4194437364 is an abundant number, since it is smaller than the sum of its proper divisors (7901072076).

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

4194437364 is a wasteful number, since it uses less digits than its factorization.

4194437364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6266 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 4194437364 is about 64764.4760960822. The cubic root of 4194437364 is about 1612.7160363876.

The spelling of 4194437364 in words is "four billion, one hundred ninety-four million, four hundred thirty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 169 222 234 333 338 351 444 468 481 507 666 676 702 962 999 1014 1332 1404 1443 1521 1924 1998 2028 2886 3042 3996 4329 4563 5772 6084 6211 6253 8658 9126 12422 12506 12987 17316 18252 18633 18759 24844 25012 25974 37266 37518 51948 55899 56277 74532 75036 80743 111798 112554 161486 167697 168831 223596 225108 229807 242229 322972 335394 337662 459614 484458 670788 675324 689421 726687 919228 968916 1049659 1378842 1453374 2068263 2099318 2180061 2757684 2906748 2987491 3148977 4136526 4198636 4360122 5974982 6204789 6297954 8273052 8720244 8962473 9446931 11949964 12409578 12595908 17924946 18893862 24819156 26887419 28340793 35849892 37787724 38837383 53774838 56681586 77674766 80662257 107549676 113363172 116512149 155349532 161324514 233024298 322649028 349536447 466048596 699072894 1048609341 1398145788 2097218682 4194437364