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12198257890 = 25713311812389
BaseRepresentation
bin10110101110001001…
…01010010011100010
31011111010011201001021
423113010222103202
5144440223223030
65334231000054
7611166324040
oct132704522342
934433151037
1012198257890
11519a664775
12244520902a
1311c525bba0
1483a0a9390
154b5d8397a
hex2d712a4e2

12198257890 has 128 divisors (see below), whose sum is σ = 28061429760. Its totient is φ = 3713817600.

The previous prime is 12198257881. The next prime is 12198257893. The reversal of 12198257890 is 9875289121.

It is not an unprimeable number, because it can be changed into a prime (12198257893) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5104816 + ... + 5107204.

It is an arithmetic number, because the mean of its divisors is an integer number (219229920).

Almost surely, 212198257890 is an apocalyptic number.

12198257890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12198257890 is an abundant number, since it is smaller than the sum of its proper divisors (15863171870).

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

12198257890 is a wasteful number, since it uses less digits than its factorization.

12198257890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628.

The product of its (nonzero) digits is 725760, while the sum is 52.

The spelling of 12198257890 in words is "twelve billion, one hundred ninety-eight million, two hundred fifty-seven thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 31 35 62 65 70 91 130 155 181 182 217 310 362 403 434 455 806 905 910 1085 1267 1810 2015 2170 2353 2389 2534 2821 4030 4706 4778 5611 5642 6335 11222 11765 11945 12670 14105 16471 16723 23530 23890 28055 28210 31057 32942 33446 39277 56110 62114 72943 74059 78554 82355 83615 145886 148118 155285 164710 167230 196385 217399 310570 364715 370295 392770 432409 434798 510601 518413 729430 740590 864818 962767 1021202 1036826 1086995 1925534 2162045 2173990 2553005 2592065 3026863 4324090 4813835 5106010 5184130 5621317 6053726 6739369 9627670 11242634 13404679 13478738 15134315 26809358 28106585 30268630 33696845 39349219 56213170 67023395 67393690 78698438 93832753 134046790 174260827 187665506 196746095 348521654 393492190 469163765 871304135 938327530 1219825789 1742608270 2439651578 6099128945 12198257890