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11810897280 = 2733572132937
BaseRepresentation
bin10101111111111101…
…11111110110000000
31010111010021202012000
422333332333312000
5143142042203110
65231552304000
7565453653600
oct127776776600
933433252160
1011810897280
115010a41a36
122357542000
131162c24620
14800874c00
15491d6a1c0
hex2bffbfd80

11810897280 has 1536 divisors, whose sum is σ = 55674864000. Its totient is φ = 2341011456.

The previous prime is 11810897269. The next prime is 11810897299. The reversal of 11810897280 is 8279801811.

It is a happy number.

It is a super-2 number, since 2×118108972802 (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319213422 + ... + 319213458.

Almost surely, 211810897280 is an apocalyptic number.

11810897280 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 11810897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27837432000).

11810897280 is an abundant number, since it is smaller than the sum of its proper divisors (43863966720).

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

11810897280 is a wasteful number, since it uses less digits than its factorization.

11810897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 11810897280 in words is "eleven billion, eight hundred ten million, eight hundred ninety-seven thousand, two hundred eighty".