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26940024384 = 26372132361157
BaseRepresentation
bin11001000101110000…
…000010011001000000
32120112111102000221220
4121011300002121000
5420133121240014
620213122115040
71642412300100
oct310560023100
976474360856
1026940024384
1110474a3a069
12527a1aba80
132704441a40
141437cad200
15a7a1896a9
hex645c02640

26940024384 has 672 divisors, whose sum is σ = 95307399936. Its totient is φ = 6642155520.

The previous prime is 26940024343. The next prime is 26940024427. The reversal of 26940024384 is 48342004962.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 171592434 + ... + 171592590.

It is an arithmetic number, because the mean of its divisors is an integer number (141826488).

Almost surely, 226940024384 is an apocalyptic number.

26940024384 is a gapful number since it is divisible by the number (24) 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 26940024384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47653699968).

26940024384 is an abundant number, since it is smaller than the sum of its proper divisors (68367375552).

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

26940024384 is a wasteful number, since it uses less digits than its factorization.

26940024384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 26940024384 in words is "twenty-six billion, nine hundred forty million, twenty-four thousand, three hundred eighty-four".