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26676376064 = 291317431547
BaseRepresentation
bin11000110110000010…
…010011001000000000
32112212010022022110022
4120312002103020000
5414113123013224
620131023153012
71633031312102
oct306602231000
975763268408
1026676376064
111034a134198
125205a45768
132691931010
141410c7d572
15a61e5b65e
hex636093200

26676376064 has 160 divisors (see below), whose sum is σ = 61029593856. Its totient is φ = 11539906560.

The previous prime is 26676376061. The next prime is 26676376141. The reversal of 26676376064 is 46067367662.

It is a junction number, because it is equal to n+sod(n) for n = 26676375997 and 26676376015.

It is not an unprimeable number, because it can be changed into a prime (26676376061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48768239 + ... + 48768785.

Almost surely, 226676376064 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 26676376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30514796928).

26676376064 is an abundant number, since it is smaller than the sum of its proper divisors (34353217792).

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

26676376064 is a wasteful number, since it uses less digits than its factorization.

26676376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 53.

The spelling of 26676376064 in words is "twenty-six billion, six hundred seventy-six million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 431 442 512 544 547 832 862 884 1088 1094 1664 1724 1768 2176 2188 3328 3448 3536 4352 4376 5603 6656 6896 7072 7111 7327 8704 8752 9299 11206 13792 14144 14222 14654 17504 18598 22412 27584 28288 28444 29308 35008 37196 44824 55168 56576 56888 58616 70016 74392 89648 95251 110336 113152 113776 117232 120887 140032 148784 179296 190502 220672 227552 234464 235757 241774 280064 297568 358592 381004 455104 468928 471514 483548 595136 717184 762008 910208 937856 943028 967096 1190272 1434368 1524016 1820416 1875712 1886056 1934192 2380544 2868736 3048032 3064841 3640832 3751424 3772112 3868384 4007869 4761088 6096064 6129682 7544224 7736768 8015738 12192128 12259364 15088448 15473536 16031476 24384256 24518728 30176896 30947072 32062952 48768512 49037456 52102297 60353792 61894144 64125904 98074912 104204594 120707584 128251808 196149824 208409188 256503616 392299648 416818376 513007232 784599296 833636752 1026014464 1569198592 1667273504 2052028928 3334547008 6669094016 13338188032 26676376064