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12438083541300 = 22352166643248797
BaseRepresentation
bin1011010011111111011110…
…0011010001100100110100
31122001001212102112211011220
42310333313203101210310
53112241143341310200
642241550544430340
72422423206455124
oct264776743214464
948031772484156
1012438083541300
113a65a6399847a
12148a7010183b0
136c2ba2036341
143100139dcc84
15168822e414a0
hexb4ff78d1934

12438083541300 has 72 divisors (see below), whose sum is σ = 35987882315616. Its totient is φ = 3316789042560.

The previous prime is 12438083541287. The next prime is 12438083541307. The reversal of 12438083541300 is 314538083421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438083541307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49868502 + ... + 50117298.

It is an arithmetic number, because the mean of its divisors is an integer number (499831698828).

Almost surely, 212438083541300 is an apocalyptic number.

12438083541300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12438083541300 is an abundant number, since it is smaller than the sum of its proper divisors (23549798774316).

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

12438083541300 is a wasteful number, since it uses less digits than its factorization.

12438083541300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415457 (or 415450 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 12438083541300 in words is "twelve trillion, four hundred thirty-eight billion, eighty-three million, five hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 166643 248797 333286 497594 499929 666572 746391 833215 995188 999858 1243985 1492782 1666430 1999716 2487970 2499645 2985564 3332860 3731955 4166075 4975940 4999290 6219925 7463910 8332150 9998580 12439850 12498225 14927820 16664300 18659775 24879700 24996450 37319550 49992900 74639100 41460278471 82920556942 124380835413 165841113884 207301392355 248761670826 414602784710 497523341652 621904177065 829205569420 1036506961775 1243808354130 2073013923550 2487616708260 3109520885325 4146027847100 6219041770650 12438083541300