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11901780512 = 251739755109
BaseRepresentation
bin10110001010110011…
…01100001000100000
31010201110022002112122
423011121230020200
5143333323434022
65245000243412
7600636315356
oct130531541040
933643262478
1011901780512
115058276946
122381a70568
1311789c559b
1480c9717d6
15499d1d742
hex2c566c220

11901780512 has 48 divisors (see below), whose sum is σ = 24872906520. Its totient is φ = 5586628608.

The previous prime is 11901780509. The next prime is 11901780521. The reversal of 11901780512 is 21508710911.

It can be written as a sum of positive squares in 4 ways, for example, as 11888849296 + 12931216 = 109036^2 + 3596^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188414 + ... + 243522.

Almost surely, 211901780512 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 11901780512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436453260).

11901780512 is an abundant number, since it is smaller than the sum of its proper divisors (12971126008).

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

11901780512 is a wasteful number, since it uses less digits than its factorization.

11901780512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55533 (or 55525 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 35.

The spelling of 11901780512 in words is "eleven billion, nine hundred one million, seven hundred eighty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 397 544 794 1588 3176 6352 6749 12704 13498 26996 53992 55109 107984 110218 215968 220436 440872 881744 936853 1763488 1873706 3747412 7494824 14989648 21878273 29979296 43756546 87513092 175026184 350052368 371930641 700104736 743861282 1487722564 2975445128 5950890256 11901780512