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11297097216 = 29391959
BaseRepresentation
bin10101000010101110…
…00000011000000000
31002011022111000000000
422201113000120000
5141114024102331
65105000000000
7546644512326
oct124127003000
932138430000
1011297097216
114877a0a389
122233460000
1310b064a112
14792529d16
15461bc80e6
hex2a15c0600

11297097216 has 400 divisors, whose sum is σ = 36243662400. Its totient is φ = 3507038208.

The previous prime is 11297097211. The next prime is 11297097223. The reversal of 11297097216 is 61279079211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11297097211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191476195 + ... + 191476253.

It is an arithmetic number, because the mean of its divisors is an integer number (90609156).

Almost surely, 211297097216 is an apocalyptic number.

11297097216 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 11297097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121831200).

11297097216 is an abundant number, since it is smaller than the sum of its proper divisors (24946565184).

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

11297097216 is an frugal number, since it uses more digits than its factorization.

11297097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 11297097216 in words is "eleven billion, two hundred ninety-seven million, ninety-seven thousand, two hundred sixteen".