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20413322343612 = 2232111011733294509
BaseRepresentation
bin1001010010000110110001…
…10100111011010010111100
32200021111100112101001102100
410221003120310323102330
510133422441004443422
6111225430102225100
74204546104666552
oct451033064732274
980244315331370
1020413322343612
11656027231a370
1223582a4425190
13b50c77a15923
1450801d8d7bd2
15255ee61557ac
hex1290d8d3b4bc

20413322343612 has 144 divisors (see below), whose sum is σ = 56881618990560. Its totient is φ = 6121054272000.

The previous prime is 20413322343611. The next prime is 20413322343613. The reversal of 20413322343612 is 21634322331402.

20413322343612 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 3 + 2 + 2 + 34 + 3 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (20413322343611) and next prime (20413322343613).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413322343611) 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, 69165814 + ... + 69460322.

It is an arithmetic number, because the mean of its divisors is an integer number (395011242990).

Almost surely, 220413322343612 is an apocalyptic number.

20413322343612 is a gapful number since it is divisible by the number (22) 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 20413322343612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440809495280).

20413322343612 is an abundant number, since it is smaller than the sum of its proper divisors (36468296646948).

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

20413322343612 is a wasteful number, since it uses less digits than its factorization.

20413322343612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296364 (or 296359 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 20413322343612 in words is "twenty trillion, four hundred thirteen billion, three hundred twenty-two million, three hundred forty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1733 1818 2222 3333 3466 3636 4444 5199 6666 6932 9999 10398 13332 15597 19063 19998 20796 31194 38126 39996 57189 62388 76252 114378 171567 175033 228756 294509 343134 350066 525099 589018 686268 700132 883527 1050198 1178036 1575297 1767054 1925363 2100396 2650581 3150594 3239599 3534108 3850726 5301162 5776089 6301188 6479198 7701452 9718797 10602324 11552178 12958396 17328267 19437594 23104356 29156391 29745409 34656534 38875188 58312782 59490818 69313068 89236227 116625564 118981636 178472454 267708681 327199499 356944908 510384097 535417362 654398998 981598497 1020768194 1070834724 1308797996 1531152291 1963196994 2041536388 2944795491 3062304582 3926393988 4593456873 5614225067 5889590982 6124609164 9186913746 11228450134 11779181964 16842675201 18373827492 22456900268 33685350402 50528025603 51548793797 67370700804 101056051206 103097587594 154646381391 202112102412 206195175188 309292762782 463939144173 567036731767 618585525564 927878288346 1134073463534 1701110195301 1855756576692 2268146927068 3402220390602 5103330585903 6804440781204 10206661171806 20413322343612