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25945993216 = 212112134027
BaseRepresentation
bin11000001010100000…
…000111000000000000
32110222012222000112201
4120022200013000000
5411114133240331
615530332402544
71605652206043
oct301240070000
973865860481
1025945993216
1110004922800
125041316454
1325a6514610
141381c76c5a
15a1cc86a61
hex60a807000

25945993216 has 156 divisors (see below), whose sum is σ = 61433613976. Its totient is φ = 10883727360.

The previous prime is 25945993201. The next prime is 25945993217. The reversal of 25945993216 is 61239954952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25945993217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6440995 + ... + 6445021.

Almost surely, 225945993216 is an apocalyptic number.

25945993216 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 25945993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30716806988).

25945993216 is an abundant number, since it is smaller than the sum of its proper divisors (35487620760).

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

25945993216 is a wasteful number, since it uses less digits than its factorization.

25945993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4053 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 55.

The spelling of 25945993216 in words is "twenty-five billion, nine hundred forty-five million, nine hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 176 208 242 256 286 352 416 484 512 572 704 832 968 1024 1144 1408 1573 1664 1936 2048 2288 2816 3146 3328 3872 4027 4096 4576 5632 6292 6656 7744 8054 9152 11264 12584 13312 15488 16108 18304 22528 25168 26624 30976 32216 36608 44297 45056 50336 52351 53248 61952 64432 73216 88594 100672 104702 123904 128864 146432 177188 201344 209404 247808 257728 292864 354376 402688 418808 487267 495616 515456 575861 585728 708752 805376 837616 974534 1030912 1151722 1417504 1610752 1675232 1949068 2061824 2303444 2835008 3221504 3350464 3898136 4123648 4606888 5670016 6334471 6443008 6700928 7796272 8247296 9213776 11340032 12668942 13401856 15592544 16494592 18427552 22680064 25337884 26803712 31185088 36855104 45360128 50675768 53607424 62370176 73710208 90720256 101351536 107214848 124740352 147420416 181440512 202703072 214429696 249480704 294840832 405406144 498961408 589681664 810812288 997922816 1179363328 1621624576 1995845632 2358726656 3243249152 6486498304 12972996608 25945993216