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26271436340 = 22537415471583
BaseRepresentation
bin11000011101111001…
…100100111000110100
32111210220100020120202
4120131321210320310
5412300441430330
620022520020032
71620013344602
oct303571447064
974726306522
1026271436340
11101615a4a66
125112301618
132628a80206
1413b3190872
15a3b61e445
hex61de64e34

26271436340 has 96 divisors (see below), whose sum is σ = 58185921024. Its totient is φ = 9950653440.

The previous prime is 26271436339. The next prime is 26271436343. The reversal of 26271436340 is 4363417262.

It is a junction number, because it is equal to n+sod(n) for n = 26271436294 and 26271436303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26271436343) 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, 16595189 + ... + 16596771.

It is an arithmetic number, because the mean of its divisors is an integer number (606103344).

Almost surely, 226271436340 is an apocalyptic number.

26271436340 is a gapful number since it is divisible by the number (20) 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 26271436340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29092960512).

26271436340 is an abundant number, since it is smaller than the sum of its proper divisors (31914484684).

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

26271436340 is a wasteful number, since it uses less digits than its factorization.

26271436340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 26271436340 in words is "twenty-six billion, two hundred seventy-one million, four hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 547 740 820 1094 1517 1583 2188 2735 3034 3166 5470 6068 6332 7585 7915 10940 15170 15830 20239 22427 30340 31660 40478 44854 58571 64903 80956 89708 101195 112135 117142 129806 202390 224270 234284 259612 292855 324515 404780 448540 585710 649030 829799 865901 1171420 1298060 1659598 1731802 2401411 3319196 3463604 4148995 4329505 4802822 8297990 8659010 9605644 12007055 16595980 17318020 24014110 32038337 35501941 48028220 64076674 71003882 128153348 142007764 160191685 177509705 320383370 355019410 640766740 710038820 1313571817 2627143634 5254287268 6567859085 13135718170 26271436340