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20085219792 = 24321121152733
BaseRepresentation
bin10010101101001011…
…000010000111010000
31220211202212212211100
4102231023002013100
5312113304013132
613121011544400
71310505360051
oct225513020720
956752785740
1020085219792
118577645a00
123a865bb100
131b81244b51
14d8774a728
157c84a137c
hex4ad2c21d0

20085219792 has 90 divisors (see below), whose sum is σ = 61785389666. Its totient is φ = 6086424960.

The previous prime is 20085219787. The next prime is 20085219793. The reversal of 20085219792 is 29791258002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16665777216 + 3419442576 = 129096^2 + 58476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20085219793) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 558943 + ... + 593790.

Almost surely, 220085219792 is an apocalyptic number.

20085219792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20085219792 is an abundant number, since it is smaller than the sum of its proper divisors (41700169874).

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

20085219792 is a wasteful number, since it uses less digits than its factorization.

20085219792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152769 (or 1152749 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 20085219792 in words is "twenty billion, eighty-five million, two hundred nineteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 1152733 2305466 3458199 4610932 6916398 9221864 10374597 12680063 13832796 18443728 20749194 25360126 27665592 38040189 41498388 50720252 55331184 76080378 82996776 101440504 114120567 139480693 152160756 165993552 202881008 228241134 278961386 304321512 418442079 456482268 557922772 608643024 836884158 912964536 1115845544 1255326237 1673768316 1825929072 2231691088 2510652474 3347536632 5021304948 6695073264 10042609896 20085219792