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26962296128 = 263133141057
BaseRepresentation
bin11001000111000100…
…111111110101000000
32120121001022120001022
4121013010333311000
5420204321434003
620215235325012
71643102510225
oct310704776500
976531276038
1026962296128
1110486571169
125285750768
132708c3c1a1
14143ac2994c
15a7c0d8738
hex64713fd40

26962296128 has 56 divisors (see below), whose sum is σ = 55397424384. Its totient is φ = 13006540800.

The previous prime is 26962296091. The next prime is 26962296133. The reversal of 26962296128 is 82169226962.

It is a self number, because there is not a number n which added to its sum of digits gives 26962296128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636176 + ... + 677232.

Almost surely, 226962296128 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 26962296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27698712192).

26962296128 is an abundant number, since it is smaller than the sum of its proper divisors (28435128256).

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

26962296128 is a wasteful number, since it uses less digits than its factorization.

26962296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41431 (or 41421 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The spelling of 26962296128 in words is "twenty-six billion, nine hundred sixty-two million, two hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 331 496 662 992 1324 1984 2648 5296 10261 10592 20522 21184 41044 41057 82088 82114 164176 164228 328352 328456 656704 656912 1272767 1313824 2545534 2627648 5091068 10182136 13589867 20364272 27179734 40728544 54359468 81457088 108718936 217437872 421285877 434875744 842571754 869751488 1685143508 3370287016 6740574032 13481148064 26962296128