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11273342976 = 2123272792
BaseRepresentation
bin10100111111111000…
…11001000000000000
31002002122210011022100
422133330121000000
5141041433433401
65102350510400
7546235556100
oct123774310000
932078704270
1011273342976
114865565485
122227505400
1310a8750c5c
1478d305200
1545ea84b86
hex29ff19000

11273342976 has 351 divisors, whose sum is σ = 38365505451. Its totient is φ = 3180183552.

The previous prime is 11273342963. The next prime is 11273342987. The reversal of 11273342976 is 67924337211.

The square root of 11273342976 is 106176.

It is a perfect power (a square), and thus also a powerful number.

11273342976 is a `hidden beast` number, since 1 + 1 + 27 + 334 + 297 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 142700505 + ... + 142700583.

Almost surely, 211273342976 is an apocalyptic number.

11273342976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11273342976 is the 106176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11273342976

11273342976 is an abundant number, since it is smaller than the sum of its proper divisors (27092162475).

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

11273342976 is an frugal number, since it uses more digits than its factorization.

11273342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 91 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 11273342976 in words is "eleven billion, two hundred seventy-three million, three hundred forty-two thousand, nine hundred seventy-six".