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427058540011320 = 23357701372494371
BaseRepresentation
bin110000100011010000101000…
…0100100110101111100111000
32002000002101201221001021222020
41201012201100210311330320
5421433411342220330240
64112135552422154440
7155644650510060420
oct14106412044657470
92060071657037866
10427058540011320
1111408a567496a18
123ba92980b82a20
131543a5a8293a59
147765a5a705480
153458b8cb720d0
hex1846850935f38

427058540011320 has 128 divisors (see below), whose sum is σ = 1464409512599040. Its totient is φ = 97599460308480.

The previous prime is 427058540011199. The next prime is 427058540011343. The reversal of 427058540011320 is 23110045850724.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 30356266 + ... + 42138105.

It is an arithmetic number, because the mean of its divisors is an integer number (11440699317180).

Almost surely, 2427058540011320 is an apocalyptic number.

427058540011320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427058540011320 is an abundant number, since it is smaller than the sum of its proper divisors (1037350972587720).

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

427058540011320 is a wasteful number, since it uses less digits than its factorization.

427058540011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72501405 (or 72501401 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 427058540011320 in words is "four hundred twenty-seven trillion, fifty-eight billion, five hundred forty million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 7013 14026 21039 28052 35065 42078 49091 56104 70130 84156 98182 105195 140260 147273 168312 196364 210390 245455 280520 294546 392728 420780 490910 589092 736365 841560 981820 1178184 1472730 1963640 2945460 5890920 72494371 144988742 217483113 289977484 362471855 434966226 507460597 579954968 724943710 869932452 1014921194 1087415565 1449887420 1522381791 1739864904 2029842388 2174831130 2537302985 2899774840 3044763582 4059684776 4349662260 5074605970 6089527164 7611908955 8699324520 10149211940 12179054328 15223817910 20298423880 30447635820 60895271640 508403023823 1016806047646 1525209071469 2033612095292 2542015119115 3050418142938 3558821166761 4067224190584 5084030238230 6100836285876 7117642333522 7626045357345 10168060476460 10676463500283 12201672571752 14235284667044 15252090714690 17794105833805 20336120952920 21352927000566 28470569334088 30504181429380 35588211667610 42705854001132 53382317501415 61008362858760 71176423335220 85411708002264 106764635002830 142352846670440 213529270005660 427058540011320