Search a number
-
+
26361340434 = 23311136135569
BaseRepresentation
bin11000100011010000…
…100010001000010010
32112001011111211211000
4120203100202020102
5412442000343214
620035451002430
71622154460632
oct304320421022
975034454730
1026361340434
11101a8320270
125138439416
13264159a5c0
1413c10b46c2
15a4447c809
hex623422212

26361340434 has 128 divisors (see below), whose sum is σ = 68946796800. Its totient is φ = 7360450560.

The previous prime is 26361340427. The next prime is 26361340477. The reversal of 26361340434 is 43404316362.

26361340434 is a `hidden beast` number, since 2 + 6 + 3 + 613 + 4 + 0 + 4 + 34 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4730802 + ... + 4736370.

It is an arithmetic number, because the mean of its divisors is an integer number (538646850).

Almost surely, 226361340434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26361340434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473398400).

26361340434 is an abundant number, since it is smaller than the sum of its proper divisors (42585456366).

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

26361340434 is a wasteful number, since it uses less digits than its factorization.

26361340434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 26361340434 its reverse (43404316362), we get a palindrome (69765656796).

The spelling of 26361340434 in words is "twenty-six billion, three hundred sixty-one million, three hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 613 702 858 1226 1287 1839 2574 3678 3861 5517 5569 6743 7722 7969 11034 11138 13486 15938 16551 16707 20229 23907 33102 33414 40458 47814 50121 60687 61259 71721 72397 87659 100242 121374 122518 143442 144794 150363 175318 182061 183777 215163 217191 262977 300726 364122 367554 430326 434382 525954 551331 651573 788931 796367 1102662 1303146 1577862 1592734 1653993 1954719 2366793 2389101 3307986 3413797 3909438 4733586 4778202 6827594 7167303 10241391 14334606 20482782 21501909 30724173 37551767 43003818 44379361 61448346 75103534 88758722 92172519 112655301 133138083 184345038 225310602 266276166 337965903 399414249 488172971 675931806 798828498 976345942 1013897709 1198242747 1464518913 2027795418 2396485494 2929037826 4393556739 8787113478 13180670217 26361340434