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26406189312 = 283107383839
BaseRepresentation
bin11000100101111011…
…100111100100000000
32112011021220101220120
4120211323213210000
5413034441024222
620044132140240
71623240622446
oct304573474400
975137811816
1026406189312
1110220672958
12514b467680
13264a9711b9
1413c702ab96
15a4838b15c
hex625ee7900

26406189312 has 144 divisors (see below), whose sum is σ = 71205765120. Its totient is φ = 8686667776.

The previous prime is 26406189307. The next prime is 26406189367. The reversal of 26406189312 is 21398160462.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31472989 + ... + 31473827.

It is an arithmetic number, because the mean of its divisors is an integer number (494484480).

Almost surely, 226406189312 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 26406189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35602882560).

26406189312 is an abundant number, since it is smaller than the sum of its proper divisors (44799575808).

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

26406189312 is a wasteful number, since it uses less digits than its factorization.

26406189312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 26406189312 in words is "twenty-six billion, four hundred six million, one hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 383 384 428 642 766 768 839 856 1149 1284 1532 1678 1712 2298 2517 2568 3064 3356 3424 4596 5034 5136 6128 6712 6848 9192 10068 10272 12256 13424 13696 18384 20136 20544 24512 26848 27392 36768 40272 40981 41088 49024 53696 73536 80544 81962 82176 89773 98048 107392 122943 147072 161088 163924 179546 214784 245886 269319 294144 321337 322176 327848 359092 491772 538638 642674 644352 655696 718184 964011 983544 1077276 1285348 1311392 1436368 1928022 1967088 2154552 2570696 2622784 2872736 3856044 3934176 4309104 5141392 5245568 5745472 7712088 7868352 8618208 10282784 10491136 11490944 15424176 15736704 17236416 20565568 22981888 30848352 31473408 34383059 34472832 41131136 61696704 68766118 68945664 82262272 103149177 123393408 137532236 206298354 246786816 275064472 412596708 550128944 825193416 1100257888 1650386832 2200515776 3300773664 4401031552 6601547328 8802063104 13203094656 26406189312