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26104525152 = 2539716271723
BaseRepresentation
bin11000010011111100…
…110111000101100000
32111101021021021110220
4120103330313011200
5411430224301102
615554154323040
71612615542216
oct302374670540
974337237426
1026104525152
1110086362132
125086429480
13260030cab4
141398d42cb6
15a2bb4e1bc
hex613f37160

26104525152 has 96 divisors (see below), whose sum is σ = 69313571712. Its totient is φ = 8601513984.

The previous prime is 26104525147. The next prime is 26104525169. The reversal of 26104525152 is 25152540162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×261045251522 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 15149763 + ... + 15151485.

It is an arithmetic number, because the mean of its divisors is an integer number (722016372).

Almost surely, 226104525152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26104525152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34656785856).

26104525152 is an abundant number, since it is smaller than the sum of its proper divisors (43209046560).

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

26104525152 is a wasteful number, since it uses less digits than its factorization.

26104525152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 26104525152 in words is "twenty-six billion, one hundred four million, five hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 1627 1723 2328 3104 3254 3446 4656 4881 5169 6508 6892 9312 9762 10338 13016 13784 19524 20676 26032 27568 39048 41352 52064 55136 78096 82704 156192 157819 165408 167131 315638 334262 473457 501393 631276 668524 946914 1002786 1262552 1337048 1893828 2005572 2525104 2674096 2803321 3787656 4011144 5050208 5348192 5606642 7575312 8022288 8409963 11213284 15150624 16044576 16819926 22426568 33639852 44853136 67279704 89706272 134559408 269118816 271922137 543844274 815766411 1087688548 1631532822 2175377096 3263065644 4350754192 6526131288 8701508384 13052262576 26104525152