Search a number
-
+
20846045668008 = 233111181193334589
BaseRepresentation
bin1001011110101100110010…
…01001011010001010101000
32201210212021202122112112210
410233112121021122022220
510213020200142334013
6112200312521005120
74251035305365651
oct457263111321250
981725252575483
1020846045668008
116707838362710
12240812a6237a0
13b82a099ab0c2
14520d4da8a528
152623c07b8cc3
hex12f59925a2a8

20846045668008 has 128 divisors (see below), whose sum is σ = 56932073942400. Its totient is φ = 6308187110400.

The previous prime is 20846045668001. The next prime is 20846045668039. The reversal of 20846045668008 is 80086654064802.

It is a Cunningham number, because it is equal to 45657472-1.

It is not an unprimeable number, because it can be changed into a prime (20846045668001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602661178 + ... + 602695766.

It is an arithmetic number, because the mean of its divisors is an integer number (444781827675).

Almost surely, 220846045668008 is an apocalyptic number.

It is an amenable number.

20846045668008 is an abundant number, since it is smaller than the sum of its proper divisors (36086028274392).

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

20846045668008 is a wasteful number, since it uses less digits than its factorization.

20846045668008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37723 (or 37719 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 20846045668008 in words is "twenty trillion, eight hundred forty-six billion, forty-five million, six hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1181 1933 2362 3543 3866 4724 5799 7086 7732 9448 11598 12991 14172 15464 21263 23196 25982 28344 34589 38973 42526 46392 51964 63789 69178 77946 85052 103767 103928 127578 138356 155892 170104 207534 255156 276712 311784 380479 415068 510312 760958 830136 1141437 1521916 2282873 2282874 3043832 4565746 4565748 6848619 9131492 9131496 13697238 18262984 25111603 27394476 40849609 50223206 54788952 66860537 75334809 81699218 100446412 122548827 133721074 150669618 163398436 200581611 200892824 245097654 267442148 301339236 326796872 401163222 449345699 490195308 534884296 602678472 735465907 802326444 898691398 980390616 1348037097 1470931814 1604652888 1797382796 2206397721 2696074194 2941863628 3594765592 4412795442 5392148388 5883727256 8825590884 10784296776 17651181768 78962294197 157924588394 236886882591 315849176788 473773765182 631698353576 868585236167 947547530364 1737170472334 1895095060728 2605755708501 3474340944668 5211511417002 6948681889336 10423022834004 20846045668008