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26342340480 = 273451771421
BaseRepresentation
bin11000100010001000…
…000011011110000000
32111222211202112210000
4120202020003132000
5412422114343410
620033531440000
71621534125321
oct304210033600
974884675700
1026342340480
1110198623325
125131bb6000
13263a677421
1413bc76a448
15a42977dc0
hex622203780

26342340480 has 640 divisors, whose sum is σ = 101249818560. Its totient is φ = 6502809600.

The previous prime is 26342340433. The next prime is 26342340491. The reversal of 26342340480 is 8404324362.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 62570670 + ... + 62571090.

Almost surely, 226342340480 is an apocalyptic number.

26342340480 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 26342340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50624909280).

26342340480 is an abundant number, since it is smaller than the sum of its proper divisors (74907478080).

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

26342340480 is a wasteful number, since it uses less digits than its factorization.

26342340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 26342340480 in words is "twenty-six billion, three hundred forty-two million, three hundred forty thousand, four hundred eighty".