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20926668800 = 21352102181
BaseRepresentation
bin10011011111010100…
…111010000000000000
32000000102012220212102
4103133110322000000
5320324211400200
613340311045532
71340403515132
oct233724720000
960012186772
1020926668800
118969617004
1240803708a8
131c8667ac7b
1410273c5052
158272b46d5
hex4df53a000

20926668800 has 84 divisors (see below), whose sum is σ = 51895478886. Its totient is φ = 8370585600.

The previous prime is 20926668793. The next prime is 20926668853. The reversal of 20926668800 is 886662902.

It can be written as a sum of positive squares in 3 ways, for example, as 8935542784 + 11991126016 = 94528^2 + 109504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153710 + ... + 255890.

Almost surely, 220926668800 is an apocalyptic number.

20926668800 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 20926668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25947739443).

20926668800 is an abundant number, since it is smaller than the sum of its proper divisors (30968810086).

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

20926668800 is an equidigital number, since it uses as much as digits as its factorization.

20926668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102217 (or 102188 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 20926668800 in words is "twenty billion, nine hundred twenty-six million, six hundred sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 20480 25600 40960 51200 102181 102400 204362 204800 408724 510905 817448 1021810 1634896 2043620 2554525 3269792 4087240 5109050 6539584 8174480 10218100 13079168 16348960 20436200 26158336 32697920 40872400 52316672 65395840 81744800 104633344 130791680 163489600 209266688 261583360 326979200 418533376 523166720 653958400 837066752 1046333440 1307916800 2092666880 2615833600 4185333760 5231667200 10463334400 20926668800