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20809976454 = 23217199563607
BaseRepresentation
bin10011011000010111…
…110000101010000110
31222201021122100001200
4103120113300222012
5320104323221304
613320542003330
71334455611201
oct233027605206
958637570050
1020809976454
118909764353
124049276546
131c68441747
141015aca938
1581be13e39
hex4d85f0a86

20809976454 has 96 divisors (see below), whose sum is σ = 48144844800. Its totient is φ = 6473592576.

The previous prime is 20809976431. The next prime is 20809976477. The reversal of 20809976454 is 45467990802.

20809976454 is a `hidden beast` number, since 20 + 80 + 9 + 97 + 6 + 454 = 666.

It is an interprime number because it is at equal distance from previous prime (20809976431) and next prime (20809976477).

It is a self number, because there is not a number n which added to its sum of digits gives 20809976454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34283019 + ... + 34283625.

It is an arithmetic number, because the mean of its divisors is an integer number (501508800).

Almost surely, 220809976454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20809976454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24072422400).

20809976454 is an abundant number, since it is smaller than the sum of its proper divisors (27334868346).

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

20809976454 is a wasteful number, since it uses less digits than its factorization.

20809976454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20809976454 in words is "twenty billion, eight hundred nine million, nine hundred seventy-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 199 306 398 563 597 607 1126 1194 1214 1689 1791 1821 3378 3383 3582 3642 5067 5463 6766 9571 10134 10149 10319 10926 19142 20298 20638 28713 30447 30957 57426 60894 61914 86139 92871 112037 120793 172278 185742 224074 241586 336111 341741 362379 672222 683482 724758 1008333 1025223 1087137 1904629 2016666 2050446 2053481 2174274 3075669 3809258 4106962 5713887 5809597 6151338 6160443 11427774 11619194 12320886 17141661 17428791 18481329 34283322 34857582 36962658 52286373 68006459 104572746 136012918 204019377 408038754 612058131 1156109803 1224116262 2312219606 3468329409 6936658818 10404988227 20809976454