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11426453472 = 2537219173739
BaseRepresentation
bin10101010010001000…
…11101011111100000
31002111022212222102110
422221010131133200
5141400133002342
65125500315320
7553105152300
oct125104353740
932438788373
1011426453472
114933a31685
12226a842b40
13110139b895
147a579d600
1546d22ac9c
hex2a911d7e0

11426453472 has 288 divisors, whose sum is σ = 36990172800. Its totient is φ = 3070835712.

The previous prime is 11426453471. The next prime is 11426453497. The reversal of 11426453472 is 27435462411.

It is a self number, because there is not a number n which added to its sum of digits gives 11426453472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11426453471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15461679 + ... + 15462417.

It is an arithmetic number, because the mean of its divisors is an integer number (128438100).

Almost surely, 211426453472 is an apocalyptic number.

11426453472 is a gapful number since it is divisible by the number (12) 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 11426453472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495086400).

11426453472 is an abundant number, since it is smaller than the sum of its proper divisors (25563719328).

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

11426453472 is a wasteful number, since it uses less digits than its factorization.

11426453472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 943 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 11426453472 in words is "eleven billion, four hundred twenty-six million, four hundred fifty-three thousand, four hundred seventy-two".