Search a number
-
+
26242349056 = 211721123773
BaseRepresentation
bin11000011100001010…
…100111100000000000
32111201212121110022221
4120130022213200000
5412221020132211
620020000340424
71616211200200
oct303412474000
974655543287
1026242349056
1110147138290
125104614714
132622a377c1
1413ad37c400
15a38cc5c71
hex61c2a7800

26242349056 has 144 divisors (see below), whose sum is σ = 66590498520. Its totient is φ = 10223861760.

The previous prime is 26242349027. The next prime is 26242349083. The reversal of 26242349056 is 65094324262.

It is a super-2 number, since 2×262423490562 (a number of 22 digits) contains 22 as substring.

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, 1091986 + ... + 1115758.

Almost surely, 226242349056 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 26242349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33295249260).

26242349056 is an abundant number, since it is smaller than the sum of its proper divisors (40348149464).

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

26242349056 is a wasteful number, since it uses less digits than its factorization.

26242349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23820 (or 23793 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 26242349056 in words is "twenty-six billion, two hundred forty-two million, three hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 616 704 784 896 1024 1078 1232 1408 1568 1792 2048 2156 2464 2816 3136 3584 4312 4928 5632 6272 7168 8624 9856 11264 12544 14336 17248 19712 22528 23773 25088 34496 39424 47546 50176 68992 78848 95092 100352 137984 157696 166411 190184 261503 275968 332822 380368 523006 551936 665644 760736 1046012 1103872 1164877 1331288 1521472 1830521 2092024 2329754 2662576 3042944 3661042 4184048 4659508 5325152 6085888 7322084 8368096 9319016 10650304 12171776 12813647 14644168 16736192 18638032 21300608 24343552 25627294 29288336 33472384 37276064 42601216 48687104 51254588 58576672 66944768 74552128 85202432 102509176 117153344 133889536 149104256 170404864 205018352 234306688 267779072 298208512 340809728 410036704 468613376 535558144 596417024 820073408 937226752 1192834048 1640146816 1874453504 2385668096 3280293632 3748907008 6560587264 13121174528 26242349056