Search a number
-
+
11794401063376 = 2419292609512779
BaseRepresentation
bin1010101110100001100100…
…0101011111000111010000
31112202112102002101222010221
42223220121011133013100
53021214413133012001
641030134551202424
72325055152621061
oct253503105370720
945675362358127
1011794401063376
113837a82a14758
1213a5a01076414
13677290429279
142cabd008c568
15156bed1871a1
hexaba1915f1d0

11794401063376 has 80 divisors (see below), whose sum is σ = 24893417880000. Its totient is φ = 5392094496768.

The previous prime is 11794401063353. The next prime is 11794401063377. The reversal of 11794401063376 is 67336010449711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11794401063377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22744555 + ... + 23257333.

It is an arithmetic number, because the mean of its divisors is an integer number (311167723500).

Almost surely, 211794401063376 is an apocalyptic number.

11794401063376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11794401063376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446708940000).

11794401063376 is an abundant number, since it is smaller than the sum of its proper divisors (13099016816624).

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

11794401063376 is a wasteful number, since it uses less digits than its factorization.

11794401063376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515444 (or 515438 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 11794401063376 in words is "eleven trillion, seven hundred ninety-four billion, four hundred one million, sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 2204 2609 4408 5218 8816 10436 20872 41744 49571 75661 99142 151322 198284 302644 396568 512779 605288 793136 1025558 1210576 1437559 2051116 2875118 4102232 5750236 8204464 9742801 11500472 14870591 19485602 23000944 29741182 38971204 59482364 77942408 118964728 155884816 237929456 282541229 565082458 1130164916 1337840411 2260329832 2675680822 4520659664 5351361644 10702723288 21405446576 25418967809 38797371919 50837935618 77594743838 101675871236 155189487676 203351742472 310378975352 406703484944 620757950704 737150066461 1474300132922 2948600265844 5897200531688 11794401063376