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26413467048 = 23329711333469
BaseRepresentation
bin11000100110010111…
…011000010110101000
32112011210121011002100
4120212113120112220
5413043321421143
620044552133400
71623356523363
oct304627302650
975153534070
1026413467048
1110224793811
125151997260
13264c31b957
1413c7da30da
15a48d276d3
hex6265d85a8

26413467048 has 96 divisors (see below), whose sum is σ = 72915733800. Its totient is φ = 8636350464.

The previous prime is 26413466993. The next prime is 26413467049. The reversal of 26413467048 is 84076431462.

26413467048 is a `hidden beast` number, since 264 + 1 + 346 + 7 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11902373604 + 14511093444 = 109098^2 + 120462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26413466994 and 26413467012.

It is not an unprimeable number, because it can be changed into a prime (26413467049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772458 + ... + 805926.

Almost surely, 226413467048 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 26413467048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36457866900).

26413467048 is an abundant number, since it is smaller than the sum of its proper divisors (46502266752).

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

26413467048 is a wasteful number, since it uses less digits than its factorization.

26413467048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33691 (or 33684 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 26413467048 in words is "twenty-six billion, four hundred thirteen million, four hundred sixty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 113 194 226 291 339 388 452 582 678 776 873 904 1017 1164 1356 1746 2034 2328 2712 3492 4068 6984 8136 10961 21922 32883 33469 43844 65766 66938 87688 98649 100407 131532 133876 197298 200814 263064 267752 301221 394596 401628 602442 789192 803256 1204884 2409768 3246493 3781997 6492986 7563994 9739479 11345991 12985972 15127988 19478958 22691982 25971944 29218437 30255976 34037973 38957916 45383964 58436874 68075946 77915832 90767928 116873748 136151892 233747496 272303784 366853709 733707418 1100561127 1467414836 2201122254 2934829672 3301683381 4402244508 6603366762 8804489016 13206733524 26413467048