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2260013441436 = 22321071182149633
BaseRepresentation
bin100000111000110011010…
…011000110000110011100
322000001111020000020101200
4200320303103012012130
5244012001420111221
64450122535235500
7322165145201442
oct40706323060634
98001436006350
102260013441436
117a151473a873
12306009b18b90
1313517003882a
147b557122b92
153dbc4e5c426
hex20e334c619c

2260013441436 has 72 divisors (see below), whose sum is σ = 5766806498544. Its totient is φ = 746219105280.

The previous prime is 2260013441417. The next prime is 2260013441443. The reversal of 2260013441436 is 6341443100622.

2260013441436 is a `hidden beast` number, since 2 + 2 + 600 + 1 + 3 + 4 + 4 + 1 + 43 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2260013441436.

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, 45509676 + ... + 45559308.

It is an arithmetic number, because the mean of its divisors is an integer number (80094534702).

Almost surely, 22260013441436 is an apocalyptic number.

It is an amenable number.

2260013441436 is an abundant number, since it is smaller than the sum of its proper divisors (3506793057108).

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

2260013441436 is a wasteful number, since it uses less digits than its factorization.

2260013441436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61571 (or 61566 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2260013441436 in words is "two trillion, two hundred sixty billion, thirteen million, four hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 11821 23642 35463 47284 49633 70926 99266 106389 141852 148899 198532 212778 297798 425556 446697 595596 893394 1264847 1786788 2529694 3794541 5059388 5310731 7589082 10621462 11383623 15178164 15932193 21242924 22767246 31864386 45534492 47796579 63728772 95593158 191186316 586711693 1173423386 1760135079 2346846772 3520270158 5280405237 7040540316 10560810474 21121620948 62778151151 125556302302 188334453453 251112604604 376668906906 565003360359 753337813812 1130006720718 2260013441436