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26058468436 = 227111331209939
BaseRepresentation
bin11000010001001101…
…001010110001010100
32111021001121100112121
4120101031022301110
5411331431442221
615545431225324
71611516220120
oct302115126124
974231540477
1026058468436
1110062365030
125072b18244
1325c39054c0
141392b94580
15a27aa2a41
hex61134ac54

26058468436 has 96 divisors (see below), whose sum is σ = 63203696640. Its totient is φ = 9069321600.

The previous prime is 26058468413. The next prime is 26058468437. The reversal of 26058468436 is 63486485062.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26058468437) 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, 19155 + ... + 229093.

It is an arithmetic number, because the mean of its divisors is an integer number (658371840).

Almost surely, 226058468436 is an apocalyptic number.

26058468436 is a gapful number since it is divisible by the number (26) 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 26058468436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31601848320).

26058468436 is an abundant number, since it is smaller than the sum of its proper divisors (37145228204).

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

26058468436 is a wasteful number, since it uses less digits than its factorization.

26058468436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210005 (or 210003 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

It can be divided in two parts, 26058 and 468436, that added together give a palindrome (494494).

The spelling of 26058468436 in words is "twenty-six billion, fifty-eight million, four hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 182 217 286 308 341 364 403 434 572 682 806 868 1001 1364 1612 2002 2387 2821 4004 4433 4774 5642 8866 9548 11284 17732 31031 62062 124124 209939 419878 839756 1469573 2309329 2729207 2939146 4618658 5458414 5878292 6508109 9237316 10916828 13016218 16165303 19104449 26032436 30021277 32330606 38208898 45556763 60042554 64661212 71589199 76417796 84605417 91113526 120085108 143178398 169210834 182227052 210148939 286356796 338421668 420297878 501124393 592237919 840595756 930659587 1002248786 1184475838 1861319174 2004497572 2368951676 3722638348 6514617109 13029234218 26058468436