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26230825824 = 2537223242447
BaseRepresentation
bin11000011011011110…
…101010001101100000
32111201001221000102120
4120123132222031200
5412210042411244
620014505344240
71616011224600
oct303336521540
974631830376
1026230825824
1110140687755
125100798080
132620531818
1413aba1cc00
15a37c9b819
hex61b7aa360

26230825824 has 144 divisors (see below), whose sum is σ = 83580553728. Its totient is φ = 7168643328.

The previous prime is 26230825787. The next prime is 26230825837. The reversal of 26230825824 is 42852803262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 13032 + ... + 229415.

It is an arithmetic number, because the mean of its divisors is an integer number (580420512).

Almost surely, 226230825824 is an apocalyptic number.

26230825824 is a gapful number since it is divisible by the number (24) 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 26230825824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41790276864).

26230825824 is an abundant number, since it is smaller than the sum of its proper divisors (57349727904).

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

26230825824 is a wasteful number, since it uses less digits than its factorization.

26230825824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242497 (or 242482 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 26230825824 in words is "twenty-six billion, two hundred thirty million, eight hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 36064 54096 108192 242447 484894 727341 969788 1454682 1697129 1939576 2909364 3394258 3879152 5091387 5576281 5818728 6788516 7758304 10182774 11152562 11637456 11879903 13577032 16728843 20365548 22305124 23274912 23759806 27154064 33457686 35639709 39033967 40731096 44610248 47519612 54308128 66915372 71279418 78067934 81462192 89220496 95039224 117101901 133830744 142558836 156135868 162924384 178440992 190078448 234203802 267661488 273237769 285117672 312271736 380156896 468407604 535322976 546475538 570235344 624543472 819713307 936815208 1092951076 1140470688 1249086944 1639426614 1873630416 2185902152 3278853228 3747260832 4371804304 6557706456 8743608608 13115412912 26230825824