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11475397440 = 2633513229271
BaseRepresentation
bin10101010111111110…
…01010101101000000
31002121201222120221000
422223333022231000
5142000200204230
65134405332000
7554241161133
oct125377125500
932551876830
1011475397440
114959620a41
122283107000
13110b577400
147ac0a021a
15472697b60
hex2abfcab40

11475397440 has 672 divisors, whose sum is σ = 45515174400. Its totient is φ = 2717245440.

The previous prime is 11475397403. The next prime is 11475397513. The reversal of 11475397440 is 4479357411.

It is a happy number.

11475397440 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 539 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42344505 + ... + 42344775.

Almost surely, 211475397440 is an apocalyptic number.

11475397440 is a gapful number since it is divisible by the number (10) 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 11475397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22757587200).

11475397440 is an abundant number, since it is smaller than the sum of its proper divisors (34039776960).

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

11475397440 is a wasteful number, since it uses less digits than its factorization.

11475397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 11475397440 in words is "eleven billion, four hundred seventy-five million, three hundred ninety-seven thousand, four hundred forty".