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4613642316 = 2232836312447
BaseRepresentation
bin1000100101111111…
…01001100001001100
3102220112101022110100
410102333221201030
533422043023231
62041450211100
7222221212143
oct42277514114
912815338410
104613642316
111a5830a838
12a89123a90
13586ab598a
1431aa4c75a
151c008a1e6
hex112fe984c

4613642316 has 72 divisors (see below), whose sum is σ = 11826307584. Its totient is φ = 1516324320.

The previous prime is 4613642303. The next prime is 4613642321. The reversal of 4613642316 is 6132463164.

4613642316 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 642 + 3 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 1884205 + ... + 1886651.

It is an arithmetic number, because the mean of its divisors is an integer number (164254272).

Almost surely, 24613642316 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 4613642316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913153792).

4613642316 is an abundant number, since it is smaller than the sum of its proper divisors (7212665268).

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

4613642316 is a wasteful number, since it uses less digits than its factorization.

4613642316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3166 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4613642316 is about 67923.7978620159. The cubic root of 4613642316 is about 1664.7459764508.

The spelling of 4613642316 in words is "four billion, six hundred thirteen million, six hundred forty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 631 747 996 1262 1494 1893 2447 2524 2988 3786 4894 5679 7341 7572 9788 11358 14682 22023 22716 29364 44046 52373 88092 104746 157119 203101 209492 314238 406202 471357 609303 628476 812404 942714 1218606 1544057 1827909 1885428 2437212 3088114 3655818 4632171 6176228 7311636 9264342 13896513 18528684 27793026 55586052 128156731 256313462 384470193 512626924 768940386 1153410579 1537880772 2306821158 4613642316