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612429012 = 223513172851
BaseRepresentation
bin100100100000001…
…110110011010100
31120200101121200000
4210200032303110
52223240212022
6140434251300
721114363216
oct4440166324
91520347600
10612429012
11294777a88
12151126b30
1399b5ac40
145b4a05b6
1538b756ac
hex2480ecd4

612429012 has 144 divisors (see below), whose sum is σ = 1831257792. Its totient is φ = 177292800.

The previous prime is 612429011. The next prime is 612429023. The reversal of 612429012 is 210924216.

612429012 is a `hidden beast` number, since 612 + 42 + 9 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×6124290122 = 750138589478592288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612429011) 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, 213387 + ... + 216237.

It is an arithmetic number, because the mean of its divisors is an integer number (12717068).

Almost surely, 2612429012 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 612429012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915628896).

612429012 is an abundant number, since it is smaller than the sum of its proper divisors (1218828780).

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

612429012 is a wasteful number, since it uses less digits than its factorization.

612429012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 612429012 is about 24747.3031257953. The cubic root of 612429012 is about 849.2168158561.

The spelling of 612429012 in words is "six hundred twelve million, four hundred twenty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 243 306 324 351 442 459 468 486 612 663 702 884 918 972 1053 1326 1377 1404 1836 1989 2106 2652 2754 2851 3159 3978 4131 4212 5508 5702 5967 6318 7956 8262 8553 11404 11934 12636 16524 17106 17901 23868 25659 34212 35802 37063 48467 51318 53703 71604 74126 76977 96934 102636 107406 111189 145401 148252 153954 193868 214812 222378 230931 290802 307908 333567 436203 444756 461862 581604 630071 667134 692793 872406 923724 1000701 1260142 1308609 1334268 1385586 1744812 1890213 2001402 2520284 2617218 2771172 3002103 3780426 3925827 4002804 5234436 5670639 6004206 7560852 7851654 9006309 11341278 11777481 12008412 15703308 17011917 18012618 22682556 23554962 34023834 36025236 47109924 51035751 68047668 102071502 153107253 204143004 306214506 612429012