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26405400560 = 24571141104551
BaseRepresentation
bin11000100101111000…
…100110111111110000
32112011020102022221112
4120211320212333300
5413034240304220
620044103212452
71623231126050
oct304570467760
975136368845
1026405400560
11102201842a0
12514b147128
13264a756196
1413c6ca3560
15a482825c5
hex625e26ff0

26405400560 has 160 divisors (see below), whose sum is σ = 78408981504. Its totient is φ = 8029440000.

The previous prime is 26405400547. The next prime is 26405400563. The reversal of 26405400560 is 6500450462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26405400563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 200285 + ... + 304835.

Almost surely, 226405400560 is an apocalyptic number.

26405400560 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 26405400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204490752).

26405400560 is an abundant number, since it is smaller than the sum of its proper divisors (52003580944).

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

26405400560 is a wasteful number, since it uses less digits than its factorization.

26405400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104623 (or 104617 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 26405400560 in words is "twenty-six billion, four hundred five million, four hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 41 44 55 56 70 77 80 82 88 110 112 140 154 164 176 205 220 280 287 308 328 385 410 440 451 560 574 616 656 770 820 880 902 1148 1232 1435 1540 1640 1804 2255 2296 2870 3080 3157 3280 3608 4510 4592 5740 6160 6314 7216 9020 11480 12628 15785 18040 22960 25256 31570 36080 50512 63140 104551 126280 209102 252560 418204 522755 731857 836408 1045510 1150061 1463714 1672816 2091020 2300122 2927428 3659285 4182040 4286591 4600244 5750305 5854856 7318570 8050427 8364080 8573182 9200488 11500610 11709712 14637140 16100854 17146364 18400976 21432955 23001220 29274280 30006137 32201708 34292728 40252135 42865910 46002440 47152501 58548560 60012274 64403416 68585456 80504270 85731820 92004880 94305002 120024548 128806832 150030685 161008540 171463640 188610004 235762505 240049096 300061370 322017080 330067507 342927280 377220008 471525010 480098192 600122740 644034160 660135014 754440016 943050020 1200245480 1320270028 1650337535 1886100040 2400490960 2640540056 3300675070 3772200080 5281080112 6601350140 13202700280 26405400560