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11454909696 = 2832192331367
BaseRepresentation
bin10101010101100010…
…00000110100000000
31002120022102201000200
422222301000310000
5141424424102241
65132354245200
7553602061116
oct125261006400
932508381020
1011454909696
114948aa821a
122278286800
131107252c99
147a9489ab6
1547099c4b6
hex2aac40d00

11454909696 has 432 divisors, whose sum is σ = 37549424640. Its totient is φ = 3339325440.

The previous prime is 11454909671. The next prime is 11454909721. The reversal of 11454909696 is 69690945411.

11454909696 is a `hidden beast` number, since 1 + 1 + 4 + 549 + 0 + 9 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (11454909671) and next prime (11454909721).

It is a super-2 number, since 2×114549096962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31212105 + ... + 31212471.

Almost surely, 211454909696 is an apocalyptic number.

11454909696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11454909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774712320).

11454909696 is an abundant number, since it is smaller than the sum of its proper divisors (26094514944).

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

11454909696 is a wasteful number, since it uses less digits than its factorization.

11454909696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 11454909696 in words is "eleven billion, four hundred fifty-four million, nine hundred nine thousand, six hundred ninety-six".