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11490701376 = 2637112347719
BaseRepresentation
bin10101011001110011…
…00011000001000000
31002122210210002222110
422230321203001000
5142013104421001
65140113335320
7554515231050
oct125471430100
932583702873
1011490701376
114967224020
122288267540
1311117a51ab
147b0125560
15473bbc3d6
hex2ace63040

11490701376 has 448 divisors, whose sum is σ = 40450129920. Its totient is φ = 2790205440.

The previous prime is 11490701357. The next prime is 11490701381. The reversal of 11490701376 is 67310709411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×114907013762 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 15981145 + ... + 15981863.

Almost surely, 211490701376 is an apocalyptic number.

11490701376 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 11490701376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225064960).

11490701376 is an abundant number, since it is smaller than the sum of its proper divisors (28959428544).

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

11490701376 is a wasteful number, since it uses less digits than its factorization.

11490701376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 11490701376 in words is "eleven billion, four hundred ninety million, seven hundred one thousand, three hundred seventy-six".