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2305106826012 = 2232611935438779
BaseRepresentation
bin100001100010110011000…
…100101101001100011100
322011100212212011112000100
4201202303010231030130
5300231324321413022
64522541303101100
7325352460510114
oct41426304551434
98140785145010
102305106826012
11809654789051
123128b3741790
131394a83b5303
147d7d3d40044
153ee63b951ac
hex218b312d31c

2305106826012 has 72 divisors (see below), whose sum is σ = 5953005771440. Its totient is φ = 751856670720.

The previous prime is 2305106825993. The next prime is 2305106826017. The reversal of 2305106826012 is 2106286015032.

2305106826012 is a `hidden beast` number, since 2 + 3 + 0 + 510 + 6 + 82 + 60 + 1 + 2 = 666.

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 (2305106826017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2295562 + ... + 3143217.

Almost surely, 22305106826012 is an apocalyptic number.

It is an amenable number.

2305106826012 is an abundant number, since it is smaller than the sum of its proper divisors (3647898945428).

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

2305106826012 is a wasteful number, since it uses less digits than its factorization.

2305106826012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439043 (or 5439038 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2305106826012 in words is "two trillion, three hundred five billion, one hundred six million, eight hundred twenty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 193 244 366 386 549 579 732 772 1098 1158 1737 2196 2316 3474 6948 11773 23546 35319 47092 70638 105957 141276 211914 423828 5438779 10877558 16316337 21755116 32632674 48949011 65265348 97898022 195796044 331765519 663531038 995296557 1049684347 1327062076 1990593114 2099368694 2985889671 3149053041 3981186228 4198737388 5971779342 6298106082 9447159123 11943558684 12596212164 18894318246 37788636492 64030745167 128061490334 192092235501 256122980668 384184471002 576276706503 768368942004 1152553413006 2305106826012