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20643175314162 = 23231475237150301
BaseRepresentation
bin1001011000110010111010…
…01000011011001011110010
32201002110122101021202210200
410230121131020123023302
510201204210340023122
6111523202133140030
74230264062004252
oct454313510331362
981073571252720
1020643175314162
1166397a3331155
12239495178a616
13b69848acb0cb
145151c66ad962
1525be9a35e5ac
hex12c65d21b2f2

20643175314162 has 96 divisors (see below), whose sum is σ = 47161333499904. Its totient is φ = 6516118224000.

The previous prime is 20643175314161. The next prime is 20643175314191. The reversal of 20643175314162 is 26141357134602.

20643175314162 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 3 + 17 + 531 + 41 + 62 = 666.

It is a super-2 number, since 2×206431753141622 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20643175314161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137270412 + ... + 137420712.

It is an arithmetic number, because the mean of its divisors is an integer number (491263890624).

Almost surely, 220643175314162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20643175314162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23580666749952).

20643175314162 is an abundant number, since it is smaller than the sum of its proper divisors (26518158185742).

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

20643175314162 is a wasteful number, since it uses less digits than its factorization.

20643175314162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155624 (or 155621 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20643175314162 in words is "twenty trillion, six hundred forty-three billion, one hundred seventy-five million, three hundred fourteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 1457 2914 4371 5237 8742 10474 13113 15711 26226 31422 47133 94266 150301 162347 246139 300602 324694 450903 487041 492278 738417 901806 974082 1352709 1461123 1476834 2215251 2705418 2922246 4430502 4659331 7064147 7630309 9318662 13977993 14128294 15260618 21192441 22890927 27955986 41933979 42384882 45781854 63577323 68672781 83867958 127154646 137345562 218988557 437977114 656965671 787126337 1313931342 1574252674 1970897013 2361379011 3941794026 4722758022 7084137033 14168274066 24400916447 36994937839 48801832894 73202749341 73989875678 110984813517 146405498682 219608248023 221969627034 332954440551 439216496046 665908881102 1146843073009 2293686146018 3440529219027 6881058438054 10321587657081 20643175314162