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3603445164 = 2233116834441
BaseRepresentation
bin1101011011001000…
…0011010110101100
3100022010111222111000
43112302003112230
524334440221124
61353322200300
7155203531014
oct32662032654
910263458430
103603445164
11158a061760
12846953090
13455718297
14262808c44
151615426c9
hexd6c835ac

3603445164 has 96 divisors (see below), whose sum is σ = 10208782080. Its totient is φ = 1090108800.

The previous prime is 3603445163. The next prime is 3603445189. The reversal of 3603445164 is 4615443063.

3603445164 is a `hidden beast` number, since 3 + 603 + 4 + 45 + 1 + 6 + 4 = 666.

3603445164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3603445163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809184 + ... + 813624.

It is an arithmetic number, because the mean of its divisors is an integer number (106341480).

Almost surely, 23603445164 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 3603445164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104391040).

3603445164 is an abundant number, since it is smaller than the sum of its proper divisors (6605336916).

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

3603445164 is a wasteful number, since it uses less digits than its factorization.

3603445164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3603445164 is about 60028.7028345607. The cubic root of 3603445164 is about 1533.1076092215.

The spelling of 3603445164 in words is "three billion, six hundred three million, four hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 683 1188 1366 2049 2732 4098 4441 6147 7513 8196 8882 12294 13323 15026 17764 18441 22539 24588 26646 30052 36882 39969 45078 48851 53292 67617 73764 79938 90156 97702 119907 135234 146553 159876 195404 202851 239814 270468 293106 405702 439659 479628 586212 811404 879318 1318977 1758636 2637954 3033203 5275908 6066406 9099609 12132812 18199218 27298827 33365233 36398436 54597654 66730466 81896481 100095699 109195308 133460932 163792962 200191398 300287097 327585924 400382796 600574194 900861291 1201148388 1801722582 3603445164