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11419678080 = 2735597757
BaseRepresentation
bin10101010001010101…
…00111010110000000
31002110212010202100000
422220222213112000
5141341414144310
65125055200000
7552663443046
oct125052472600
932425122300
1011419678080
114930124188
122268516000
1310ccb68985
147a4918396
1546c83d4c0
hex2a8aa7580

11419678080 has 384 divisors, whose sum is σ = 41370245280. Its totient is φ = 3009871872.

The previous prime is 11419678079. The next prime is 11419678093. The reversal of 11419678080 is 8087691411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 15085062 + ... + 15085818.

Almost surely, 211419678080 is an apocalyptic number.

11419678080 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 11419678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685122640).

11419678080 is an abundant number, since it is smaller than the sum of its proper divisors (29950567200).

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

11419678080 is an frugal number, since it uses more digits than its factorization.

11419678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11419678080 in words is "eleven billion, four hundred nineteen million, six hundred seventy-eight thousand, eighty".