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4538317532640 = 253540272347859
BaseRepresentation
bin100001000001010100011…
…0011011110110111100000
3121001212012011002202100020
41002002220303132313200
51043323433242021030
613352512502553440
7645611511352563
oct102025063366740
917055164082306
104538317532640
11149a764a2a511
12613681438880
1326bc6657a838
141199274d04da
157d0baa36510
hex420a8cdede0

4538317532640 has 96 divisors (see below), whose sum is σ = 14299256280960. Its totient is φ = 1209916967424.

The previous prime is 4538317532627. The next prime is 4538317532647. The reversal of 4538317532640 is 462357138354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538317532647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759031 + ... + 3106889.

It is an arithmetic number, because the mean of its divisors is an integer number (148950586260).

Almost surely, 24538317532640 is an apocalyptic number.

4538317532640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4538317532640 is an abundant number, since it is smaller than the sum of its proper divisors (9760938748320).

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

4538317532640 is a wasteful number, since it uses less digits than its factorization.

4538317532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351904 (or 2351896 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 4538317532640 in words is "four trillion, five hundred thirty-eight billion, three hundred seventeen million, five hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4027 8054 12081 16108 20135 24162 32216 40270 48324 60405 64432 80540 96648 120810 128864 161080 193296 241620 322160 386592 483240 644320 966480 1932960 2347859 4695718 7043577 9391436 11739295 14087154 18782872 23478590 28174308 35217885 37565744 46957180 56348616 70435770 75131488 93914360 112697232 140871540 187828720 225394464 281743080 375657440 563486160 1126972320 9454828193 18909656386 28364484579 37819312772 47274140965 56728969158 75638625544 94548281930 113457938316 141822422895 151277251088 189096563860 226915876632 283644845790 302554502176 378193127720 453831753264 567289691580 756386255440 907663506528 1134579383160 1512772510880 2269158766320 4538317532640