Search a number
-
+
26504527872 = 21631131193
BaseRepresentation
bin11000101011110010…
…110000000000000000
32112102010221112001110
4120223302300000000
5413240124342442
620102004003320
71625543525004
oct305362600000
975363845043
1026504527872
111027112a099
125178390540
1326651526b4
1413d6108704
15a51d1369c
hex62bcb0000

26504527872 has 136 divisors (see below), whose sum is σ = 71363440944. Its totient is φ = 8749318144.

The previous prime is 26504527817. The next prime is 26504527883. The reversal of 26504527872 is 27872540562.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22216108 + ... + 22217300.

Almost surely, 226504527872 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 26504527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35681720472).

26504527872 is an abundant number, since it is smaller than the sum of its proper divisors (44858913072).

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

26504527872 is an equidigital number, since it uses as much as digits as its factorization.

26504527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 26504527872 in words is "twenty-six billion, five hundred four million, five hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1024 1193 1356 1536 1808 2048 2386 2712 3072 3579 3616 4096 4772 5424 6144 7158 7232 8192 9544 10848 12288 14316 14464 16384 19088 21696 24576 28632 28928 32768 38176 43392 49152 57264 57856 65536 76352 86784 98304 114528 115712 134809 152704 173568 196608 229056 231424 269618 305408 347136 404427 458112 462848 539236 610816 694272 808854 916224 925696 1078472 1221632 1388544 1617708 1832448 1851392 2156944 2443264 2777088 3235416 3664896 3702784 4313888 4886528 5554176 6470832 7329792 7405568 8627776 9773056 11108352 12941664 14659584 17255552 19546112 22216704 25883328 29319168 34511104 39092224 51766656 58638336 69022208 78184448 103533312 117276672 138044416 207066624 234553344 276088832 414133248 552177664 828266496 1104355328 1656532992 2208710656 3313065984 4417421312 6626131968 8834842624 13252263936 26504527872