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12423741872760 = 2333523500150639
BaseRepresentation
bin1011010011001010000010…
…1110001001101001111000
31121222200211221011120111000
42310302200232021221320
53112022310404412020
642231215505005000
72421404622342321
oct264624056115170
947880757146430
1012423741872760
113a5a974445649
12148797a023760
136c17279ca53a
1430d452dc7448
15168283d1d090
hexb4ca0b89a78

12423741872760 has 128 divisors (see below), whose sum is σ = 43213015296000. Its totient is φ = 3168954442368.

The previous prime is 12423741872747. The next prime is 12423741872777. The reversal of 12423741872760 is 6727814732421.

It is a happy number.

12423741872760 is a `hidden beast` number, since 1 + 2 + 423 + 74 + 1 + 87 + 2 + 76 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12423741872697 and 12423741872706.

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, 250050480 + ... + 250100159.

It is an arithmetic number, because the mean of its divisors is an integer number (337601682000).

Almost surely, 212423741872760 is an apocalyptic number.

12423741872760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12423741872760 is an abundant number, since it is smaller than the sum of its proper divisors (30789273423240).

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

12423741872760 is a wasteful number, since it uses less digits than its factorization.

12423741872760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500150682 (or 500150672 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 12423741872760 in words is "twelve trillion, four hundred twenty-three billion, seven hundred forty-one million, eight hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 24840 500150639 1000301278 1500451917 2000602556 2500753195 3000903834 4001205112 4501355751 5001506390 6001807668 7502259585 9002711502 10003012780 11503464697 12003615336 13504067253 15004519170 18005423004 20006025560 22506778755 23006929394 27008134506 30009038340 34510394091 36010846008 45013557510 46013858788 54016269012 57517323485 60018076680 67520336265 69020788182 90027115020 92027717576 103531182273 108032538024 115034646970 135040672530 138041576364 172551970455 180054230040 207062364546 230069293940 270081345060 276083152728 310593546819 345103940910 414124729092 460138587880 517655911365 540162690120 621187093638 690207881820 828249458184 1035311822730 1242374187276 1380415763640 1552967734095 2070623645460 2484748374552 3105935468190 4141247290920 6211870936380 12423741872760