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26461864240 = 2457375032539
BaseRepresentation
bin11000101001010000…
…000000000100110000
32112022011122222112221
4120221100000010300
5413143214123430
620053441330424
71624515064150
oct305120000460
975264588487
1026461864240
111024a03a299
125166036a14
132659365646
1413d05a0760
15a4d1d757a
hex629400130

26461864240 has 160 divisors (see below), whose sum is σ = 72385367040. Its totient is φ = 8806413312.

The previous prime is 26461864229. The next prime is 26461864241. The reversal of 26461864240 is 4246816462.

It is not an unprimeable number, because it can be changed into a prime (26461864241) 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, 10420891 + ... + 10423429.

It is an arithmetic number, because the mean of its divisors is an integer number (452408544).

Almost surely, 226461864240 is an apocalyptic number.

26461864240 is a gapful number since it is divisible by the number (20) 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 26461864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36192683520).

26461864240 is an abundant number, since it is smaller than the sum of its proper divisors (45923502800).

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

26461864240 is a wasteful number, since it uses less digits than its factorization.

26461864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 26461864240 in words is "twenty-six billion, four hundred sixty-one million, eight hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 503 518 560 592 740 1006 1036 1295 1480 2012 2072 2515 2539 2590 2960 3521 4024 4144 5030 5078 5180 7042 8048 10060 10156 10360 12695 14084 17605 17773 18611 20120 20312 20720 25390 28168 35210 35546 37222 40240 40624 50780 56336 70420 71092 74444 88865 93055 93943 101560 130277 140840 142184 148888 177730 186110 187886 203120 260554 281680 284368 297776 355460 372220 375772 469715 521108 651385 657601 710920 744440 751544 939430 1042216 1277117 1302770 1315202 1421840 1488880 1503088 1878860 2084432 2554234 2605540 2630404 3288005 3757720 5108468 5211080 5260808 6385585 6576010 7515440 8939819 10216936 10422160 10521616 12771170 13152020 17879638 20433872 25542340 26304040 35759276 44699095 47253329 51084680 52608080 71518552 89398190 94506658 102169360 143037104 178796380 189013316 236266645 330773303 357592760 378026632 472533290 661546606 715185520 756053264 945066580 1323093212 1653866515 1890133160 2646186424 3307733030 3780266320 5292372848 6615466060 13230932120 26461864240