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20845719856 = 2413312104287
BaseRepresentation
bin10011011010100000…
…000111000100110000
31222210202220021210101
4103122200013010300
5320143001013411
613324300042144
71335401460313
oct233240070460
958722807711
1020845719856
118927957955
124059233354
131c729779a0
14101a75297a
158201248c1
hex4da807130

20845719856 has 60 divisors (see below), whose sum is σ = 44944165056. Its totient is φ = 9310654080.

The previous prime is 20845719847. The next prime is 20845719859. The reversal of 20845719856 is 65891754802.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20845719797 and 20845719806.

It is not an unprimeable number, because it can be changed into a prime (20845719859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147745 + ... + 252031.

Almost surely, 220845719856 is an apocalyptic number.

20845719856 is a gapful number since it is divisible by the number (26) 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 20845719856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22472082528).

20845719856 is an abundant number, since it is smaller than the sum of its proper divisors (24098445200).

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

20845719856 is a wasteful number, since it uses less digits than its factorization.

20845719856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104370 (or 104333 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 20845719856 in words is "twenty billion, eight hundred forty-five million, seven hundred nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 961 1612 1922 3224 3844 6448 7688 12493 15376 24986 49972 99944 104287 199888 208574 417148 834296 1355731 1668592 2711462 3232897 5422924 6465794 10845848 12931588 21691696 25863176 42027661 51726352 84055322 100219807 168110644 200439614 336221288 400879228 672442576 801758456 1302857491 1603516912 2605714982 5211429964 10422859928 20845719856