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42121483182 = 232233114922027
BaseRepresentation
bin100111001110101000…
…101101001110101110
311000201112000001022200
4213032220231032232
51142231044430212
631203401322330
73020544461652
oct471650551656
9130645001280
1042121483182
111695552a829
1281b64963a6
133c8375295c
14207824aa62
151167d946dc
hex9cea2d3ae

42121483182 has 96 divisors (see below), whose sum is σ = 98967398400. Its totient is φ = 12908998080.

The previous prime is 42121483181. The next prime is 42121483189. The reversal of 42121483182 is 28138412124.

42121483182 is a `hidden beast` number, since 42 + 121 + 483 + 18 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121483181) 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, 1901253 + ... + 1923279.

It is an arithmetic number, because the mean of its divisors is an integer number (1030910400).

Almost surely, 242121483182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121483182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49483699200).

42121483182 is an abundant number, since it is smaller than the sum of its proper divisors (56845915218).

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

42121483182 is a wasteful number, since it uses less digits than its factorization.

42121483182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22238 (or 22235 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The spelling of 42121483182 in words is "forty-two billion, one hundred twenty-one million, four hundred eighty-three thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 149 186 207 279 298 414 447 558 713 894 1341 1426 2139 2682 3427 4278 4619 6417 6854 9238 10281 12834 13857 20562 22027 27714 30843 41571 44054 61686 66081 83142 106237 132162 198243 212474 318711 396486 506621 637422 682837 956133 1013242 1365674 1519863 1912266 2048511 3039726 3282023 4097022 4559589 6145533 6564046 9119178 9846069 12291066 15705251 19692138 29538207 31410502 47115753 59076414 75486529 94231506 101742713 141347259 150973058 203485426 226459587 282694518 305228139 452919174 610456278 679378761 915684417 1358757522 1831368834 2340082399 4680164798 7020247197 14040494394 21060741591 42121483182