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11456540992 = 261317809993
BaseRepresentation
bin10101010101101110…
…01111000101000000
31002120102111120202001
422222313033011000
5141430333302432
65132453233344
7553621664101
oct125267170500
932512446661
1011456540992
114949a118a6
122278932854
1311076a4650
147a97923a8
15470bc09e7
hex2aadcf140

11456540992 has 56 divisors (see below), whose sum is σ = 25923047976. Its totient is φ = 4976590848.

The previous prime is 11456540981. The next prime is 11456541001. The reversal of 11456540992 is 29904565411.

It can be written as a sum of positive squares in 4 ways, for example, as 3792589056 + 7663951936 = 61584^2 + 87544^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390853 + ... + 419140.

It is an arithmetic number, because the mean of its divisors is an integer number (462911571).

Almost surely, 211456540992 is an apocalyptic number.

It is an amenable number.

11456540992 is an abundant number, since it is smaller than the sum of its proper divisors (14466506984).

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

11456540992 is a wasteful number, since it uses less digits than its factorization.

11456540992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810035 (or 810025 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 11456540992 in words is "eleven billion, four hundred fifty-six million, five hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 809993 1619986 3239972 6479944 10529909 12959888 13769881 21059818 25919776 27539762 42119636 51839552 55079524 84239272 110159048 168478544 179008453 220318096 336957088 358016906 440636192 673914176 716033812 881272384 1432067624 2864135248 5728270496 11456540992