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3613428336 = 2437171633881
BaseRepresentation
bin1101011101100000…
…1000101001110000
3100022211022011211010
43113120020221300
524400014201321
61354320150520
7155354430330
oct32730105160
910284264733
103613428336
111594760211
1284a168440
1345780229b
14263c870c0
15162365676
hexd7608a70

3613428336 has 160 divisors (see below), whose sum is σ = 11367986688. Its totient is φ = 965468160.

The previous prime is 3613428307. The next prime is 3613428367. The reversal of 3613428336 is 6338243163.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3613428294 and 3613428303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929116 + ... + 932996.

Almost surely, 23613428336 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 3613428336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683993344).

3613428336 is an abundant number, since it is smaller than the sum of its proper divisors (7754558352).

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

3613428336 is a wasteful number, since it uses less digits than its factorization.

3613428336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4073 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 3613428336 is about 60111.7986421967. The cubic root of 3613428336 is about 1534.5221041282.

The spelling of 3613428336 in words is "three billion, six hundred thirteen million, four hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 163 168 204 238 272 326 336 357 408 476 489 652 714 816 952 978 1141 1304 1428 1904 1956 2282 2608 2771 2856 3423 3881 3912 4564 5542 5712 6846 7762 7824 8313 9128 11084 11643 13692 15524 16626 18256 19397 22168 23286 27167 27384 31048 33252 38794 44336 46572 54334 54768 58191 62096 65977 66504 77588 81501 93144 108668 116382 131954 133008 155176 163002 186288 197931 217336 232764 263908 310352 326004 395862 434672 461839 465528 527816 632603 652008 791724 923678 931056 1055632 1265206 1304016 1385517 1583448 1847356 1897809 2530412 2771034 3166896 3694712 3795618 4428221 5060824 5542068 7389424 7591236 8856442 10121648 10754251 11084136 13284663 15182472 17712884 21508502 22168272 26569326 30364944 32262753 35425768 43017004 53138652 64525506 70851536 75279757 86034008 106277304 129051012 150559514 172068016 212554608 225839271 258102024 301119028 451678542 516204048 602238056 903357084 1204476112 1806714168 3613428336