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126403142660 = 225173736731481
BaseRepresentation
bin111010110111000110…
…1101110010000000100
3110002021020210221221022
41311232031232100010
54032333201031120
6134022510010312
712063246661544
oct1655615562004
9402236727838
10126403142660
1149675307a63
12205b81a6998
13bbc5954c92
1461918d7324
15344c1c3025
hex1d6e36e404

126403142660 has 96 divisors (see below), whose sum is σ = 282423933792. Its totient is φ = 47356968960.

The previous prime is 126403142651. The next prime is 126403142707. The reversal of 126403142660 is 66241304621.

It can be written as a sum of positive squares in 16 ways, for example, as 20865224704 + 105537917956 = 144448^2 + 324866^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126403142660.

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, 85349120 + ... + 85350600.

It is an arithmetic number, because the mean of its divisors is an integer number (2941915977).

Almost surely, 2126403142660 is an apocalyptic number.

126403142660 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 126403142660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141211966896).

126403142660 is an abundant number, since it is smaller than the sum of its proper divisors (156020791132).

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

126403142660 is a wasteful number, since it uses less digits than its factorization.

126403142660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 126403142660 in words is "one hundred twenty-six billion, four hundred three million, one hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 373 673 746 1346 1481 1492 1865 2692 2962 3365 3730 5924 6341 6730 7405 7460 11441 12682 13460 14810 22882 25177 25364 29620 31705 45764 50354 57205 63410 100708 114410 125885 126820 228820 251029 251770 502058 503540 552413 996713 1004116 1104826 1255145 1993426 2209652 2510290 2762065 3986852 4267493 4983565 5020580 5524130 8534986 9391021 9967130 11048260 16944121 17069972 18782042 19934260 21337465 33888242 37564084 42674930 46955105 67776484 84720605 85349860 93910210 169441210 187820420 338882420 371773949 743547898 1487095796 1858869745 3717739490 6320157133 7435478980 12640314266 25280628532 31600785665 63201571330 126403142660