Search a number
-
+
13861650768 = 243731316427
BaseRepresentation
bin11001110100011100…
…00000000101010000
31022210001010211002220
430322032000011100
5211342040311033
610211251141040
71000335042000
oct147216000520
938701124086
1013861650768
1159735a4429
12282a2a4780
1313cba5c024
14956d82000
15561e05bb3
hex33a380150

13861650768 has 160 divisors (see below), whose sum is σ = 42085401600. Its totient is φ = 3929627520.

The previous prime is 13861650739. The next prime is 13861650779. The reversal of 13861650768 is 86705616831.

It is a self number, because there is not a number n which added to its sum of digits gives 13861650768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2153571 + ... + 2159997.

It is an arithmetic number, because the mean of its divisors is an integer number (263033760).

Almost surely, 213861650768 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 13861650768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21042700800).

13861650768 is an abundant number, since it is smaller than the sum of its proper divisors (28223750832).

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

13861650768 is a wasteful number, since it uses less digits than its factorization.

13861650768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 13861650768 in words is "thirteen billion, eight hundred sixty-one million, six hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 131 147 168 196 262 294 336 343 392 393 524 588 686 784 786 917 1029 1048 1176 1372 1572 1834 2058 2096 2352 2744 2751 3144 3668 4116 5488 5502 6288 6419 6427 7336 8232 11004 12838 12854 14672 16464 19257 19281 22008 25676 25708 38514 38562 44016 44933 44989 51352 51416 77028 77124 89866 89978 102704 102832 134799 134967 154056 154248 179732 179956 269598 269934 308112 308496 314923 359464 359912 539196 539868 629846 718928 719824 841937 944769 1078392 1079736 1259692 1683874 1889538 2156784 2159472 2204461 2519384 2525811 3367748 3779076 4408922 5038768 5051622 5893559 6613383 6735496 7558152 8817844 10103244 11787118 13226766 13470992 15116304 17635688 17680677 20206488 23574236 26453532 35271376 35361354 40412976 41254913 47148472 52907064 70722708 82509826 94296944 105814128 123764739 141445416 165019652 247529478 282890832 288784391 330039304 495058956 577568782 660078608 866353173 990117912 1155137564 1732706346 1980235824 2310275128 3465412692 4620550256 6930825384 13861650768