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11418992640 = 221325112
BaseRepresentation
bin10101010001010000…
…00000000000000000
31002110210211221002100
422220220000000000
5141341230231030
65125032350400
7552654556506
oct125050000000
932423757070
1011418992640
11492a7a6200
122268245400
1310cc9889a3
147a47ba676
1546c755360
hex2a8a00000

11418992640 has 396 divisors, whose sum is σ = 43511699322. Its totient is φ = 2768240640.

The previous prime is 11418992639. The next prime is 11418992657. The reversal of 11418992640 is 4629981411.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10277093376 + 1141899264 = 101376^2 + 33792^2 .

It is a tau number, because it is divible by the number of its divisors (396).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1038090235 + ... + 1038090245.

Almost surely, 211418992640 is an apocalyptic number.

11418992640 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 11418992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755849661).

11418992640 is an abundant number, since it is smaller than the sum of its proper divisors (32092706682).

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

11418992640 is an frugal number, since it uses more digits than its factorization.

11418992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11418992640 in words is "eleven billion, four hundred eighteen million, nine hundred ninety-two thousand, six hundred forty".