Search a number
-
+
26495002112 = 291721371307
BaseRepresentation
bin11000101011001110…
…011010011000000000
32112101111000120011112
4120223032122120000
5413230210031422
620101023502452
71625366542055
oct305316323000
975344016145
1026495002112
1110266813267
125175157a28
132663198957
1413d4b4902c
15a51080ee2
hex62b39a600

26495002112 has 120 divisors (see below), whose sum is σ = 56689266744. Its totient is φ = 12367757312.

The previous prime is 26495002109. The next prime is 26495002123. The reversal of 26495002112 is 21120059462.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20270963 + ... + 20272269.

Almost surely, 226495002112 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 26495002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28344633372).

26495002112 is an abundant number, since it is smaller than the sum of its proper divisors (30194264632).

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

26495002112 is a wasteful number, since it uses less digits than its factorization.

26495002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 26495002112 in words is "twenty-six billion, four hundred ninety-five million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 256 272 274 289 512 544 548 578 1088 1096 1156 1307 2176 2192 2312 2329 2614 4352 4384 4624 4658 5228 8704 8768 9248 9316 10456 17536 18496 18632 20912 22219 35072 36992 37264 39593 41824 44438 70144 73984 74528 79186 83648 88876 147968 149056 158372 167296 177752 179059 298112 316744 334592 355504 358118 377723 596224 633488 669184 711008 716236 755446 1192448 1266976 1422016 1432472 1510892 2533952 2844032 2864944 3021784 3044003 5067904 5688064 5729888 6043568 6088006 10135808 11376128 11459776 12087136 12176012 20271616 22919552 24174272 24352024 45839104 48348544 48704048 51748051 91678208 96697088 97408096 103496102 193394176 194816192 206992204 389632384 413984408 779264768 827968816 1558529536 1655937632 3311875264 6623750528 13247501056 26495002112