Search a number
-
+
26642643393840 = 2435508121848261
BaseRepresentation
bin1100000111011001110010…
…10010111001110100110000
310111100000022121220222012020
412003230321102321310300
511443003113202100330
6132355243355231440
75416603353164355
oct603547122716460
9114300277828166
1026642643393840
118542099694a31
122ba3633448580
1311b350cbaaa46
1468172199862c
15313082776210
hex183b394b9d30

26642643393840 has 80 divisors (see below), whose sum is σ = 82608453408096. Its totient is φ = 7103306291200.

The previous prime is 26642643393833. The next prime is 26642643393893. The reversal of 26642643393840 is 4839334624662.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×266426433938402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 9704691 + ... + 12143570.

Almost surely, 226642643393840 is an apocalyptic number.

26642643393840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26642643393840 is an abundant number, since it is smaller than the sum of its proper divisors (55965810014256).

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

26642643393840 is a wasteful number, since it uses less digits than its factorization.

26642643393840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21853358 (or 21853352 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 60.

The spelling of 26642643393840 in words is "twenty-six trillion, six hundred forty-two billion, six hundred forty-three million, three hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5081 10162 15243 20324 25405 30486 40648 50810 60972 76215 81296 101620 121944 152430 203240 243888 304860 406480 609720 1219440 21848261 43696522 65544783 87393044 109241305 131089566 174786088 218482610 262179132 327723915 349572176 436965220 524358264 655447830 873930440 1048716528 1310895660 1747860880 2621791320 5243582640 111011014141 222022028282 333033042423 444044056564 555055070705 666066084846 888088113128 1110110141410 1332132169692 1665165212115 1776176226256 2220220282820 2664264339384 3330330424230 4440440565640 5328528678768 6660660848460 8880881131280 13321321696920 26642643393840