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3684137652 = 22321310972221
BaseRepresentation
bin1101101110010111…
…0111101010110100
3100111202100120202200
43123211313222310
530021114401102
61405323504500
7160203440046
oct33345675264
910452316680
103684137652
111620666168
12869988130
1346935b910
1426d411a96
1516868151c
hexdb977ab4

3684137652 has 72 divisors (see below), whose sum is σ = 10121191080. Its totient is φ = 1123165440.

The previous prime is 3684137621. The next prime is 3684137663. The reversal of 3684137652 is 2567314863.

It can be written as a sum of positive squares in 4 ways, for example, as 79816356 + 3604321296 = 8934^2 + 60036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3684137598 and 3684137607.

It is a congruent number.

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, 14902 + ... + 87122.

Almost surely, 23684137652 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 3684137652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060595540).

3684137652 is an abundant number, since it is smaller than the sum of its proper divisors (6437053428).

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

3684137652 is a wasteful number, since it uses less digits than its factorization.

3684137652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72353 (or 72348 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3684137652 is about 60697.0975582853. The cubic root of 3684137652 is about 1544.4669389858.

The spelling of 3684137652 in words is "three billion, six hundred eighty-four million, one hundred thirty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 218 234 327 436 468 654 981 1308 1417 1962 2834 3924 4251 5668 8502 12753 17004 25506 51012 72221 144442 216663 288884 433326 649989 866652 938873 1299978 1877746 2599956 2816619 3755492 5633238 7872089 8449857 11266476 15744178 16899714 23616267 31488356 33799428 47232534 70848801 94465068 102337157 141697602 204674314 283395204 307011471 409348628 614022942 921034413 1228045884 1842068826 3684137652