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26104200640 = 2657111710433
BaseRepresentation
bin11000010011111011…
…100111110111000000
32111101020122210022221
4120103323213313000
5411430133410030
615554143340424
71612613021140
oct302373476700
974336583287
1026104200640
1110086160341
1250862b1714
13260022818b
141398c9a920
15a2bad7e7a
hex613ee7dc0

26104200640 has 112 divisors (see below), whose sum is σ = 71111132352. Its totient is φ = 8941142016.

The previous prime is 26104200631. The next prime is 26104200641. The reversal of 26104200640 is 4600240162.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26104200641) 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 15 ways as a sum of consecutive naturals, for example, 2496864 + ... + 2507296.

Almost surely, 226104200640 is an apocalyptic number.

26104200640 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 26104200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35555566176).

26104200640 is an abundant number, since it is smaller than the sum of its proper divisors (45006931712).

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

26104200640 is a wasteful number, since it uses less digits than its factorization.

26104200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11574 (or 11564 counting only the distinct ones).

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

The spelling of 26104200640 in words is "twenty-six billion, one hundred four million, two hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1117 1120 2234 2240 4468 5585 7819 8936 10433 11170 15638 17872 20866 22340 31276 35744 39095 41732 44680 52165 62552 71488 73031 78190 83464 89360 104330 125104 146062 156380 166928 178720 208660 250208 292124 312760 333856 357440 365155 417320 500416 584248 625520 667712 730310 834640 1168496 1251040 1460620 1669280 2336992 2502080 2921240 3338560 4673984 5842480 11653661 11684960 23307322 23369920 46614644 58268305 81575627 93229288 116536610 163151254 186458576 233073220 326302508 372917152 407878135 466146440 652605016 745834304 815756270 932292880 1305210032 1631512540 1864585760 2610420064 3263025080 3729171520 5220840128 6526050160 13052100320 26104200640