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126133477704 = 233213232254741
BaseRepresentation
bin111010101111000100…
…1000010000101001000
3110001120110101120011100
41311132021002011020
54031310132241304
6133540034101400
712053463604413
oct1653611020510
9401513346140
10126133477704
1149547072763
1220541a1a860
13bb81b18810
146167b7cb7a
1534336a7439
hex1d5e242148

126133477704 has 144 divisors (see below), whose sum is σ = 384581449980. Its totient is φ = 37122750720.

The previous prime is 126133477663. The next prime is 126133477709. The reversal of 126133477704 is 407774331621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 125881620804 + 251856900 = 354798^2 + 15870^2 .

It is a super-2 number, since 2×1261334777042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126133477704.

It is not an unprimeable number, because it can be changed into a prime (126133477709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367774 + ... + 622514.

Almost surely, 2126133477704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126133477704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192290724990).

126133477704 is an abundant number, since it is smaller than the sum of its proper divisors (258447972276).

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

126133477704 is a wasteful number, since it uses less digits than its factorization.

126133477704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254812 (or 254782 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 126133477704 in words is "one hundred twenty-six billion, one hundred thirty-three million, four hundred seventy-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 529 552 598 828 897 936 1058 1196 1587 1656 1794 2116 2392 2691 3174 3588 4232 4761 5382 6348 6877 7176 9522 10764 12696 13754 19044 20631 21528 27508 38088 41262 55016 61893 82524 123786 165048 247572 254741 495144 509482 764223 1018964 1528446 2037928 2292669 3056892 3311633 4585338 5859043 6113784 6623266 9170676 9934899 11718086 13246532 17577129 18341352 19869798 23436172 26493064 29804697 35154258 39739596 46872344 52731387 59609394 70308516 76167559 79479192 105462774 119218788 134757989 140617032 152335118 210925548 228502677 238437576 269515978 304670236 404273967 421851096 457005354 539031956 609340472 685508031 808547934 914010708 1078063912 1212821901 1371016062 1617095868 1751853857 1828021416 2425643802 2742032124 3234191736 3503707714 4851287604 5255561571 5484064248 7007415428 9702575208 10511123142 14014830856 15766684713 21022246284 31533369426 42044492568 63066738852 126133477704