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20032007274054 = 23217314634561003
BaseRepresentation
bin1001000111000000100001…
…01011010111111001000110
32121221001010000210111101100
410203200100223113321012
510111201022330232204
6110334324353040530
74135156546246446
oct443402053277106
977831100714340
1020032007274054
116423587966846
1222b6406856146
13b2401949c059
144d37a90d6126
1524b129d0ca39
hex123810ad7e46

20032007274054 has 96 divisors (see below), whose sum is σ = 47540694749184. Its totient is φ = 6068686821120.

The previous prime is 20032007274043. The next prime is 20032007274067. The reversal of 20032007274054 is 45047270023002.

It is a happy number.

20032007274054 is a `hidden beast` number, since 20 + 0 + 3 + 200 + 7 + 27 + 405 + 4 = 666.

It is a Curzon number.

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, 2111517 + ... + 6672519.

It is an arithmetic number, because the mean of its divisors is an integer number (495215570304).

Almost surely, 220032007274054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032007274054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23770347374592).

20032007274054 is an abundant number, since it is smaller than the sum of its proper divisors (27508687475130).

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

20032007274054 is a wasteful number, since it uses less digits than its factorization.

20032007274054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561522 (or 4561519 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

Adding to 20032007274054 its reverse (45047270023002), we get a palindrome (65079277297056).

The spelling of 20032007274054 in words is "twenty trillion, thirty-two billion, seven million, two hundred seventy-four thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 463 527 558 926 1054 1389 1581 2778 3162 4167 4743 7871 8334 9486 14353 15742 23613 28706 43059 47226 70839 86118 129177 141678 244001 258354 488002 732003 1464006 2196009 4392018 4561003 9122006 13683009 27366018 41049027 77537051 82098054 141391093 155074102 232611153 282782186 424173279 465222306 697833459 848346558 1272519837 1395666918 2111744389 2403648581 2545039674 4223488778 4807297162 6335233167 7210945743 12670466334 14421891486 19005699501 21632837229 35899654613 38011399002 43265674458 65464076059 71799309226 107698963839 130928152118 196392228177 215397927678 323096891517 392784456354 589176684531 646193783034 1112889293003 1178353369062 2225778586006 3338667879009 6677335758018 10016003637027 20032007274054