Search a number
-
+
26074476064 = 257139839109
BaseRepresentation
bin11000010010001010…
…001110111000100000
32111022011201121212201
4120102022032320200
5411400031213224
615551202302544
71612102250440
oct302212167040
974264647781
1026074476064
11100703a887a
125078357a54
1325c701b680
141394d60120
15a291b5a44
hex61228ee20

26074476064 has 96 divisors (see below), whose sum is σ = 63251677440. Its totient is φ = 10303552512.

The previous prime is 26074476023. The next prime is 26074476067. The reversal of 26074476064 is 46067447062.

It is not an unprimeable number, because it can be changed into a prime (26074476067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2857942 + ... + 2867050.

It is an arithmetic number, because the mean of its divisors is an integer number (658871640).

Almost surely, 226074476064 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 26074476064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31625838720).

26074476064 is an abundant number, since it is smaller than the sum of its proper divisors (37177201376).

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

26074476064 is a wasteful number, since it uses less digits than its factorization.

26074476064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The spelling of 26074476064 in words is "twenty-six billion, seventy-four million, four hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 983 1456 1966 2912 3932 6881 7864 9109 12779 13762 15728 18218 25558 27524 31456 36436 51116 55048 63763 72872 89453 102232 110096 118417 127526 145744 178906 204464 220192 236834 255052 291488 357812 408928 473668 510104 715624 828919 947336 1020208 1431248 1657838 1894672 2040416 2862496 3315676 3789344 6631352 8954147 13262704 17908294 26525408 35816588 62679029 71633176 116403911 125358058 143266352 232807822 250716116 286532704 465615644 501432232 814827377 931231288 1002864464 1629654754 1862462576 2005728928 3259309508 3724925152 6518619016 13037238032 26074476064