Search a number
-
+
126303254956692 = 223211378620205771
BaseRepresentation
bin11100101101111101000100…
…101001010100101010010100
3121120012110210000000112202100
4130231331010221110222110
5113023323031232103232
61124342525254042100
735414052254251452
oct3455750451245224
9546173700015670
10126303254956692
1137275a00782010
12121ba500649330
135562465a59438
1423291783b39d2
15e90686903c7c
hex72df44a54a94

126303254956692 has 72 divisors (see below), whose sum is σ = 357704058714912. Its totient is φ = 37239288926400.

The previous prime is 126303254956667. The next prime is 126303254956841. The reversal of 126303254956692 is 296659452303621.

It is a happy number.

126303254956692 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 0 + 3 + 25 + 49 + 566 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4310088234 + ... + 4310117537.

It is an arithmetic number, because the mean of its divisors is an integer number (4968111926596).

Almost surely, 2126303254956692 is an apocalyptic number.

126303254956692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126303254956692 is an abundant number, since it is smaller than the sum of its proper divisors (231400803758220).

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

126303254956692 is a wasteful number, since it uses less digits than its factorization.

126303254956692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620205829 (or 8620205824 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 126303254956692 in words is "one hundred twenty-six trillion, three hundred three billion, two hundred fifty-four million, nine hundred fifty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 8620205771 17240411542 25860617313 34480823084 51721234626 77581851939 94822263481 103442469252 155163703878 189644526962 284466790443 310327407756 318947613527 379289053924 568933580886 637895227054 853400371329 956842840581 1137867161772 1275790454108 1706800742658 1913685681162 2870528521743 3413601485316 3508423748797 3827371362324 5741057043486 7016847497594 10525271246391 11482114086972 14033694995188 21050542492782 31575813739173 42101084985564 63151627478346 126303254956692