Search a number
-
+
26260442040 = 2335731262431
BaseRepresentation
bin11000011101001111…
…101000101110111000
32111210010122200020110
4120131033220232320
5412240133121130
620021444224320
71616521034340
oct303517505670
974703580213
1026260442040
1110156375868
12510a69b0a0
132626700c01
1413b192bd20
15a3a69bab0
hex61d3e8bb8

26260442040 has 64 divisors (see below), whose sum is σ = 90035804160. Its totient is φ = 6002386560.

The previous prime is 26260442029. The next prime is 26260442053. The reversal of 26260442040 is 4024406262.

It is a super-2 number, since 2×262604420402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26260441989 and 26260442007.

It is a congruent number.

It is an unprimeable number.

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, 15630376 + ... + 15632055.

It is an arithmetic number, because the mean of its divisors is an integer number (1406809440).

Almost surely, 226260442040 is an apocalyptic number.

26260442040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26260442040 is an abundant number, since it is smaller than the sum of its proper divisors (63775362120).

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

26260442040 is a wasteful number, since it uses less digits than its factorization.

26260442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31262452 (or 31262448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 26260442040 in words is "twenty-six billion, two hundred sixty million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 31262431 62524862 93787293 125049724 156312155 187574586 218837017 250099448 312624310 375149172 437674034 468936465 625248620 656511051 750298344 875348068 937872930 1094185085 1250497240 1313022102 1750696136 1875745860 2188370170 2626044204 3282555255 3751491720 4376740340 5252088408 6565110510 8753480680 13130221020 26260442040