Search a number
-
+
22791264034240 = 2651341133626079
BaseRepresentation
bin1010010111010100000010…
…01100100101110111000000
32222200211020101012001111001
411023222001030211313000
510441403002043043430
6120250055005301344
74541420524604032
oct513520114456700
988624211161431
1022791264034240
1172977a24201a9
122681124264854
13c9428c95ba60
1458b162b4bc52
15297cbe2313ca
hex14ba81325dc0

22791264034240 has 112 divisors (see below), whose sum is σ = 59871966900480. Its totient is φ = 8209986232320.

The previous prime is 22791264034181. The next prime is 22791264034241. The reversal of 22791264034240 is 4243046219722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22791264034241) 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 15 ways as a sum of consecutive naturals, for example, 66642480 + ... + 66983599.

It is an arithmetic number, because the mean of its divisors is an integer number (534571133040).

Almost surely, 222791264034240 is an apocalyptic number.

22791264034240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22791264034240 is an abundant number, since it is smaller than the sum of its proper divisors (37080702866240).

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

22791264034240 is a wasteful number, since it uses less digits than its factorization.

22791264034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133626150 (or 133626140 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 22791264034240 in words is "twenty-two trillion, seven hundred ninety-one billion, two hundred sixty-four million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 130 160 164 205 208 260 320 328 410 416 520 533 656 820 832 1040 1066 1312 1640 2080 2132 2624 2665 3280 4160 4264 5330 6560 8528 10660 13120 17056 21320 34112 42640 85280 170560 133626079 267252158 534504316 668130395 1069008632 1336260790 1737139027 2138017264 2672521580 3474278054 4276034528 5345043160 5478669239 6948556108 8552069056 8685695135 10690086320 10957338478 13897112216 17371390270 21380172640 21914676956 27393346195 27794224432 34742780540 42760345280 43829353912 54786692390 55588448864 69485561080 71222700107 87658707824 109573384780 111176897728 138971122160 142445400214 175317415648 219146769560 277942244320 284890800428 350634831296 356113500535 438293539120 555884488640 569781600856 712227001070 876587078240 1139563201712 1424454002140 1753174156480 2279126403424 2848908004280 4558252806848 5697816008560 11395632017120 22791264034240