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134826551728 = 241159125910313
BaseRepresentation
bin111110110010001001…
…0011110100110110000
3110220000021221110212221
41331210102132212300
54202111044123403
6141534412530424
712512061531511
oct1754422364660
9426007843787
10134826551728
11521a8089960
1222169180a14
13c938b146bb
1467504daa08
153791957dbd
hex1f6449e9b0

134826551728 has 80 divisors (see below), whose sum is σ = 290062684800. Its totient is φ = 60192381440.

The previous prime is 134826551687. The next prime is 134826551749. The reversal of 134826551728 is 827155628431.

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, 13068300 + ... + 13078612.

It is an arithmetic number, because the mean of its divisors is an integer number (3625783560).

Almost surely, 2134826551728 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 134826551728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145031342400).

134826551728 is an abundant number, since it is smaller than the sum of its proper divisors (155236133072).

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

134826551728 is a wasteful number, since it uses less digits than its factorization.

134826551728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11644 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 52.

The spelling of 134826551728 in words is "one hundred thirty-four billion, eight hundred twenty-six million, five hundred fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 944 1259 1298 2518 2596 5036 5192 10072 10313 10384 13849 20144 20626 27698 41252 55396 74281 82504 110792 113443 148562 165008 221584 226886 297124 453772 594248 608467 817091 907544 1188496 1216934 1634182 1815088 2433868 3268364 4867736 6536728 6693137 9735472 12984067 13073456 13386274 25968134 26772548 51936268 53545096 103872536 107090192 142824737 207745072 285649474 571298948 766059953 1142597896 1532119906 2285195792 3064239812 6128479624 8426659483 12256959248 16853318966 33706637932 67413275864 134826551728