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26855691264 = 21035107927
BaseRepresentation
bin11001000000101110…
…010101010000000000
32120022121201110200000
4121000232111100000
5420000024110024
620200510400000
71640336415663
oct310056252000
976277643600
1026855691264
1110431379376
125255b00000
1326bcb2529c
14142a9d96da
15a72a7bcc9
hex640b95400

26855691264 has 132 divisors (see below), whose sum is σ = 80418016224. Its totient is φ = 8951814144.

The previous prime is 26855691253. The next prime is 26855691277. The reversal of 26855691264 is 46219655862.

26855691264 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 569 + 12 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 26855691264.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 194869 + ... + 302795.

Almost surely, 226855691264 is an apocalyptic number.

26855691264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26855691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40209008112).

26855691264 is an abundant number, since it is smaller than the sum of its proper divisors (53562324960).

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

26855691264 is an equidigital number, since it uses as much as digits as its factorization.

26855691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107962 (or 107932 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 26855691264 in words is "twenty-six billion, eight hundred fifty-five million, six hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 62208 82944 107927 124416 215854 248832 323781 431708 647562 863416 971343 1295124 1726832 1942686 2590248 2914029 3453664 3885372 5180496 5828058 6907328 7770744 8742087 10360992 11656116 13814656 15541488 17484174 20721984 23312232 26226261 27629312 31082976 34968348 41443968 46624464 52452522 55258624 62165952 69936696 82887936 93248928 104905044 110517248 124331904 139873392 165775872 186497856 209810088 248663808 279746784 331551744 372995712 419620176 497327616 559493568 745991424 839240352 994655232 1118987136 1491982848 1678480704 2237974272 2983965696 3356961408 4475948544 6713922816 8951897088 13427845632 26855691264