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26383955040 = 253452388513
BaseRepresentation
bin11000100100100110…
…110011010001100000
32112002202001210020000
4120210212303101200
5413013243030130
620042015420000
71622550626502
oct304446632140
975082053200
1026383955040
111020a066a23
125143b24600
132646187b21
1413c40bdd72
15a46448260
hex6249b3460

26383955040 has 240 divisors, whose sum is σ = 97162879968. Its totient is φ = 6729744384.

The previous prime is 26383955027. The next prime is 26383955041. The reversal of 26383955040 is 4055938362.

26383955040 is a `hidden beast` number, since 2 + 63 + 8 + 39 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×263839550402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26383955041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253824 + ... + 342336.

Almost surely, 226383955040 is an apocalyptic number.

26383955040 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 26383955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48581439984).

26383955040 is an abundant number, since it is smaller than the sum of its proper divisors (70778924928).

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

26383955040 is a wasteful number, since it uses less digits than its factorization.

26383955040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88563 (or 88546 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 26383955040 in words is "twenty-six billion, three hundred eighty-three million, nine hundred fifty-five thousand, forty".