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26026304480 = 25511131157719
BaseRepresentation
bin11000001111010010…
…011110001111100000
32111011211002020212222
4120033102132033200
5411300213220410
615542322010212
71610645636501
oct301722361740
974154066788
1026026304480
1110046196850
1250641a6968
1325ba053587
14138c7c0ba8
15a24d4c955
hex60f49e3e0

26026304480 has 192 divisors, whose sum is σ = 68114027520. Its totient is φ = 9319065600.

The previous prime is 26026304477. The next prime is 26026304501. The reversal of 26026304480 is 8440362062.

It is a super-3 number, since 3×260263044803 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26026304480.

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 31 ways as a sum of consecutive naturals, for example, 36197561 + ... + 36198279.

It is an arithmetic number, because the mean of its divisors is an integer number (354760560).

Almost surely, 226026304480 is an apocalyptic number.

26026304480 is a gapful number since it is divisible by the number (20) 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 26026304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34057013760).

26026304480 is an abundant number, since it is smaller than the sum of its proper divisors (42087723040).

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

26026304480 is a wasteful number, since it uses less digits than its factorization.

26026304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 26026304480 in words is "twenty-six billion, twenty-six million, three hundred four thousand, four hundred eighty".