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12342585820 = 225171910118917
BaseRepresentation
bin10110111111010110…
…01110100111011100
31011212011202022202011
423133223032213130
5200234200221240
65400424241004
7614601151135
oct133753164734
934764668664
1012342585820
115264082454
122485610164
131219123126
14851318c8c
154c38926ea
hex2dface9dc

12342585820 has 96 divisors (see below), whose sum is σ = 29176096320. Its totient is φ = 4358246400.

The previous prime is 12342585817. The next prime is 12342585821. The reversal of 12342585820 is 2858524321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342585821) 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, 643002 + ... + 661918.

It is an arithmetic number, because the mean of its divisors is an integer number (303917670).

Almost surely, 212342585820 is an apocalyptic number.

12342585820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342585820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588048160).

12342585820 is an abundant number, since it is smaller than the sum of its proper divisors (16833510500).

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

12342585820 is a wasteful number, since it uses less digits than its factorization.

12342585820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19063 (or 19061 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 12342585820 in words is "twelve billion, three hundred forty-two million, five hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 101 170 190 202 323 340 380 404 505 646 1010 1292 1615 1717 1919 2020 3230 3434 3838 6460 6868 7676 8585 9595 17170 18917 19190 32623 34340 37834 38380 65246 75668 94585 130492 163115 189170 321589 326230 359423 378340 643178 652460 718846 1286356 1437692 1607945 1797115 1910617 3215890 3594230 3821234 6110191 6431780 7188460 7642468 9553085 12220382 19106170 24440764 30550955 32480489 36301723 38212340 61101910 64960978 72603446 122203820 129921956 145206892 162402445 181508615 324804890 363017230 617129291 649609780 726034460 1234258582 2468517164 3085646455 6171292910 12342585820