Search a number
-
+
26240061400 = 2352718742901
BaseRepresentation
bin11000011100000001…
…111000111111011000
32111201201022020020221
4120130001320333120
5412214423431100
620015435325424
71616152561510
oct303401707730
974651266227
1026240061400
1110145915563
1251038b0874
132622416467
1413acd44840
15a389c301a
hex61c078fd8

26240061400 has 48 divisors (see below), whose sum is σ = 69723595440. Its totient is φ = 8996592000.

The previous prime is 26240061343. The next prime is 26240061457. The reversal of 26240061400 is 416004262.

It is an interprime number because it is at equal distance from previous prime (26240061343) and next prime (26240061457).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9370051 + ... + 9372850.

It is an arithmetic number, because the mean of its divisors is an integer number (1452574905).

Almost surely, 226240061400 is an apocalyptic number.

26240061400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26240061400 is an abundant number, since it is smaller than the sum of its proper divisors (43483534040).

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

26240061400 is a wasteful number, since it uses less digits than its factorization.

26240061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18742924 (or 18742915 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 26240061400 its reverse (416004262), we get a palindrome (26656065662).

The spelling of 26240061400 in words is "twenty-six billion, two hundred forty million, sixty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 18742901 37485802 74971604 93714505 131200307 149943208 187429010 262400614 374858020 468572525 524801228 656001535 749716040 937145050 1049602456 1312003070 1874290100 2624006140 3280007675 3748580200 5248012280 6560015350 13120030700 26240061400