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2829496015242 = 23213106109113957
BaseRepresentation
bin101001001011001011000…
…110101101100110001010
3101000111102102221102012200
4221023023012231212022
5332324301434441432
610003504051221030
7411265356204441
oct51131306554612
911014372842180
102829496015242
119a0a89810386
123984605a7776
13176a883570b0
149ad3c34bd58
154d905a44a7c
hex292cb1ad98a

2829496015242 has 48 divisors (see below), whose sum is σ = 6602277525480. Its totient is φ = 870598313856.

The previous prime is 2829496015237. The next prime is 2829496015267. The reversal of 2829496015242 is 2425106949282.

2829496015242 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 4 + 9 + 601 + 5 + 24 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2828784246201 + 711769041 = 1681899^2 + 26679^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24772528 + ... + 24886484.

Almost surely, 22829496015242 is an apocalyptic number.

2829496015242 is an abundant number, since it is smaller than the sum of its proper divisors (3772781510238).

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

2829496015242 is a wasteful number, since it uses less digits than its factorization.

2829496015242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220087 (or 220084 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2829496015242 in words is "two trillion, eight hundred twenty-nine billion, four hundred ninety-six million, fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 106109 113957 212218 227914 318327 341871 636654 683742 954981 1025613 1379417 1481441 1909962 2051226 2758834 2962882 4138251 4444323 8276502 8888646 12414753 13332969 24829506 26665938 12091863313 24183726626 36275589939 72551179878 108826769817 157194223069 217653539634 314388446138 471582669207 943165338414 1414748007621 2829496015242