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20845264896 = 2153323561
BaseRepresentation
bin10011011010011110…
…011000000000000000
31222210202001011201000
4103122132120000000
5320142341434041
613324242212000
71335364554021
oct233236300000
958722034630
1020845264896
118927677055
124059054000
131c72848891
14101a674c48
15820084bb6
hex4da798000

20845264896 has 128 divisors (see below), whose sum is σ = 61765426800. Its totient is φ = 6948126720.

The previous prime is 20845264859. The next prime is 20845264897. The reversal of 20845264896 is 69846254802.

20845264896 is a `hidden beast` number, since 20 + 8 + 4 + 526 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20845264897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872956 + ... + 896516.

Almost surely, 220845264896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20845264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30882713400).

20845264896 is an abundant number, since it is smaller than the sum of its proper divisors (40920161904).

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

20845264896 is an frugal number, since it uses more digits than its factorization.

20845264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23600 (or 23566 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 20845264896 in words is "twenty billion, eight hundred forty-five million, two hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 23561 24576 27648 32768 36864 47122 49152 55296 70683 73728 94244 98304 110592 141366 147456 188488 212049 221184 282732 294912 376976 424098 442368 565464 636147 753952 848196 884736 1130928 1272294 1507904 1696392 2261856 2544588 3015808 3392784 4523712 5089176 6031616 6785568 9047424 10178352 12063232 13571136 18094848 20356704 24126464 27142272 36189696 40713408 48252928 54284544 72379392 81426816 96505856 108569088 144758784 162853632 193011712 217138176 289517568 325707264 386023424 434276352 579035136 651414528 772046848 868552704 1158070272 1302829056 1737105408 2316140544 2605658112 3474210816 5211316224 6948421632 10422632448 20845264896