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12757753288 = 237322320849
BaseRepresentation
bin10111110000110101…
…11101110111001000
31012221002222000110001
423320122331313020
5202111441101123
65505534532344
7631102054000
oct137032756710
935832860401
1012757753288
115457467965
1225806670b4
131284145357
1489050b000
154ea0500ad
hex2f86bddc8

12757753288 has 64 divisors (see below), whose sum is σ = 28022400000. Its totient is φ = 5442829056.

The previous prime is 12757753249. The next prime is 12757753301. The reversal of 12757753288 is 88235775721.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601488 + ... + 622336.

It is an arithmetic number, because the mean of its divisors is an integer number (437850000).

Almost surely, 212757753288 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 12757753288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011200000).

12757753288 is an abundant number, since it is smaller than the sum of its proper divisors (15264646712).

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

12757753288 is a wasteful number, since it uses less digits than its factorization.

12757753288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21099 (or 21081 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 55.

The spelling of 12757753288 in words is "twelve billion, seven hundred fifty-seven million, seven hundred fifty-three thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 223 343 392 446 686 892 1372 1561 1784 2744 3122 6244 10927 12488 20849 21854 41698 43708 76489 83396 87416 145943 152978 166792 291886 305956 583772 611912 1021601 1167544 2043202 4086404 4649327 7151207 8172808 9298654 14302414 18597308 28604828 32545289 37194616 57209656 65090578 130181156 227817023 260362312 455634046 911268092 1594719161 1822536184 3189438322 6378876644 12757753288