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20244782766 = 2313259933331
BaseRepresentation
bin10010110110101011…
…101101111010101110
31221020220010112002010
4102312223231322232
5312430131022031
613144511542050
71314453546165
oct226653557256
957226115063
1020244782766
118649719a2a
123b0bb2a926
131ba8311700
14da0a043dc
157d74be246
hex4b6aedeae

20244782766 has 48 divisors (see below), whose sum is σ = 43918243200. Its totient is φ = 6218578080.

The previous prime is 20244782737. The next prime is 20244782783. The reversal of 20244782766 is 66728744202.

It is a super-2 number, since 2×202447827662 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590721 + ... + 624051.

It is an arithmetic number, because the mean of its divisors is an integer number (914963400).

Almost surely, 220244782766 is an apocalyptic number.

20244782766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20244782766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21959121600).

20244782766 is an abundant number, since it is smaller than the sum of its proper divisors (23673460434).

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

20244782766 is a wasteful number, since it uses less digits than its factorization.

20244782766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33961 (or 33948 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 20244782766 in words is "twenty billion, two hundred forty-four million, seven hundred eighty-two thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 599 1014 1198 1797 3594 7787 15574 23361 33331 46722 66662 99993 101231 199986 202462 303693 433303 607386 866606 1299909 2599818 5632939 11265878 16898817 19965269 33797634 39930538 59895807 119791614 259548497 519096994 778645491 1557290982 3374130461 6748260922 10122391383 20244782766