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12438658960 = 2457131708607
BaseRepresentation
bin10111001010110011…
…01101111110010000
31012002212112100022121
423211121231332100
5200433244041320
65414135344024
7620145566560
oct134531557620
935085470277
1012438658960
115303331642
1224b1822014
131232cc0440
1485dda6da0
154cc01d8aa
hex2e566df90

12438658960 has 80 divisors (see below), whose sum is σ = 35593721856. Its totient is φ = 3936628224.

The previous prime is 12438658951. The next prime is 12438659021. The reversal of 12438658960 is 6985683421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 12438658898 and 12438658907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847024 + ... + 861583.

Almost surely, 212438658960 is an apocalyptic number.

12438658960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12438658960 is an abundant number, since it is smaller than the sum of its proper divisors (23155062896).

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

12438658960 is a wasteful number, since it uses less digits than its factorization.

12438658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708640 (or 1708634 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 12438658960 in words is "twelve billion, four hundred thirty-eight million, six hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1708607 3417214 6834428 8543035 11960249 13668856 17086070 22211891 23920498 27337712 34172140 44423782 47840996 59801245 68344280 88847564 95681992 111059455 119602490 136688560 155483237 177695128 191363984 222118910 239204980 310966474 355390256 444237820 478409960 621932948 777416185 888475640 956819920 1243865896 1554832370 1776951280 2487731792 3109664740 6219329480 12438658960