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20810622672 = 2432734759497
BaseRepresentation
bin10011011000011010…
…001110011011010000
31222201022212011111200
4103120122032123100
5320110004411142
613321003511200
71334464242210
oct233032163320
958638764450
1020810622672
11890a065914
124049528500
131c68609918
141015c18240
1581bee064c
hex4d868e6d0

20810622672 has 120 divisors (see below), whose sum is σ = 66753900096. Its totient is φ = 5928657408.

The previous prime is 20810622661. The next prime is 20810622713. The reversal of 20810622672 is 27622601802.

20810622672 is a `hidden beast` number, since 20 + 8 + 1 + 0 + 622 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 320028 + ... + 379524.

Almost surely, 220810622672 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 20810622672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33376950048).

20810622672 is an abundant number, since it is smaller than the sum of its proper divisors (45943277424).

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

20810622672 is a wasteful number, since it uses less digits than its factorization.

20810622672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59865 (or 59856 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20810622672 in words is "twenty billion, eight hundred ten million, six hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 347 504 694 1008 1041 1388 2082 2429 2776 3123 4164 4858 5552 6246 7287 8328 9716 12492 14574 16656 19432 21861 24984 29148 38864 43722 49968 58296 59497 87444 116592 118994 174888 178491 237988 349776 356982 416479 475976 535473 713964 832958 951952 1070946 1249437 1427928 1665916 2141892 2498874 2855856 3331832 3748311 4283784 4997748 6663664 7496622 8567568 9995496 14993244 19990992 20645459 29986488 41290918 59972976 61936377 82581836 123872754 144518213 165163672 185809131 247745508 289036426 330327344 371618262 433554639 495491016 578072852 743236524 867109278 990982032 1156145704 1300663917 1486473048 1734218556 2312291408 2601327834 2972946096 3468437112 5202655668 6936874224 10405311336 20810622672