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12253755756 = 22311372938563
BaseRepresentation
bin10110110100110000…
…10111100101101100
31011121222121021210210
423122120113211230
5200043430141011
65343532302420
7612442130304
oct133230274554
934558537723
1012253755756
115218a20080
12245b911a10
1312038c0868
148435d4604
154bab976a6
hex2da61796c

12253755756 has 96 divisors (see below), whose sum is σ = 32147474688. Its totient is φ = 3600149760.

The previous prime is 12253755749. The next prime is 12253755757. The reversal of 12253755756 is 65755735221.

It is not an unprimeable number, because it can be changed into a prime (12253755757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426731 + ... + 1435293.

It is an arithmetic number, because the mean of its divisors is an integer number (334869528).

Almost surely, 212253755756 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 12253755756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073737344).

12253755756 is an abundant number, since it is smaller than the sum of its proper divisors (19893718932).

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

12253755756 is a wasteful number, since it uses less digits than its factorization.

12253755756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8909 counting only the distinct ones).

The product of its digits is 2205000, while the sum is 48.

The spelling of 12253755756 in words is "twelve billion, two hundred fifty-three million, seven hundred fifty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 293 407 444 586 814 879 1172 1221 1628 1758 2442 3223 3516 4884 6446 8563 9669 10841 12892 17126 19338 21682 25689 32523 34252 38676 43364 51378 65046 94193 102756 119251 130092 188386 238502 282579 316831 357753 376772 477004 565158 633662 715506 950493 1130316 1267324 1431012 1900986 2508959 3485141 3801972 5017918 6970282 7526877 10035836 10455423 13940564 15053754 20910846 27598549 30107508 41821692 55197098 82795647 92831483 110394196 165591294 185662966 278494449 331182588 371325932 556988898 1021146313 1113977796 2042292626 3063438939 4084585252 6126877878 12253755756