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3613091664 = 2437133126683
BaseRepresentation
bin1101011101011011…
…0110011101010000
3100022210200001222210
43113112312131100
524344422413124
61354305032120
7155351525640
oct32726663520
910283601883
103613091664
111594550276
1284a025640
13457714c80
14263bda520
151622eaa29
hexd75b6750

3613091664 has 160 divisors (see below), whose sum is σ = 11858796544. Its totient is φ = 922129920.

The previous prime is 3613091659. The next prime is 3613091789. The reversal of 3613091664 is 4661903163.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 122067 + ... + 148749.

Almost surely, 23613091664 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 3613091664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929398272).

3613091664 is an abundant number, since it is smaller than the sum of its proper divisors (8245704880).

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

3613091664 is a wasteful number, since it uses less digits than its factorization.

3613091664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26745 (or 26739 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3613091664 is about 60108.9981949458. The cubic root of 3613091664 is about 1534.4744442492.

The spelling of 3613091664 in words is "three billion, six hundred thirteen million, ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16926 19344 22568 26683 33852 45136 53366 67704 80049 106732 135408 160098 186781 213464 320196 346879 373562 426928 560343 640392 693758 747124 827173 1040637 1120686 1280784 1387516 1494248 1654346 2081274 2241372 2428153 2481519 2775032 2988496 3308692 4162548 4482744 4856306 4963038 5550064 5790211 6617384 7284459 8325096 8965488 9712612 9926076 10753249 11580422 13234768 14568918 16650192 17370633 19425224 19852152 21506498 23160844 29137836 32259747 34741266 38850448 39704304 43012996 46321688 58275672 64519494 69482532 75272743 86025992 92643376 116551344 129038988 138965064 150545486 172051984 225818229 258077976 277930128 301090972 451636458 516155952 602181944 903272916 1204363888 1806545832 3613091664