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3664445436 = 2232619717203
BaseRepresentation
bin1101101001101010…
…1111111111111100
3100110101022010010100
43122122233333330
530001044223221
61403341441100
7156544162251
oct33232577774
910411263110
103664445436
111610536103
12863270190
13465255612
1426a967428
15166a91926
hexda6afffc

3664445436 has 72 divisors (see below), whose sum is σ = 9512366864. Its totient is φ = 1189002240.

The previous prime is 3664445419. The next prime is 3664445441. The reversal of 3664445436 is 6345444663.

3664445436 is a `hidden beast` number, since 3 + 6 + 64 + 44 + 543 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3664445391 and 3664445400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204411 + ... + 221613.

Almost surely, 23664445436 is an apocalyptic number.

3664445436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664445436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756183432).

3664445436 is an abundant number, since it is smaller than the sum of its proper divisors (5847921428).

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

3664445436 is a wasteful number, since it uses less digits than its factorization.

3664445436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17366 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The square root of 3664445436 is about 60534.6630947922. The cubic root of 3664445436 is about 1541.7102263001.

The spelling of 3664445436 in words is "three billion, six hundred sixty-four million, four hundred forty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 97 122 183 194 244 291 366 388 549 582 732 873 1098 1164 1746 2196 3492 5917 11834 17203 17751 23668 34406 35502 51609 53253 68812 71004 103218 106506 154827 206436 213012 309654 619308 1049383 1668691 2098766 3148149 3337382 4197532 5006073 6296298 6674764 9444447 10012146 12592596 15018219 18888894 20024292 30036438 37777788 60072876 101790151 203580302 305370453 407160604 610740906 916111359 1221481812 1832222718 3664445436