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11761606444 = 2272914997213
BaseRepresentation
bin10101111010000101…
…11101111100101100
31010100200112111212111
422331002331330230
5143041432401234
65223032013404
7564315001540
oct127502757454
933320474774
1011761606444
114a96136005
122342b31264
131155956c53
147d80c3a20
1548c880664
hex2bd0bdf2c

11761606444 has 48 divisors (see below), whose sum is σ = 24497928000. Its totient is φ = 4834158336.

The previous prime is 11761606411. The next prime is 11761606447. The reversal of 11761606444 is 44460616711.

It is a happy number.

It is a super-2 number, since 2×117616064442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11761606397 and 11761606406.

It is not an unprimeable number, because it can be changed into a prime (11761606447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72382 + ... + 169594.

It is an arithmetic number, because the mean of its divisors is an integer number (510373500).

Almost surely, 211761606444 is an apocalyptic number.

11761606444 is a gapful number since it is divisible by the number (14) 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 11761606444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248964000).

11761606444 is an abundant number, since it is smaller than the sum of its proper divisors (12736321556).

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

11761606444 is a wasteful number, since it uses less digits than its factorization.

11761606444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97402 (or 97400 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 11761606444 in words is "eleven billion, seven hundred sixty-one million, six hundred six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 149 203 298 406 596 812 1043 2086 4172 4321 8642 17284 30247 60494 97213 120988 194426 388852 680491 1360982 2721964 2819177 5638354 11276708 14484737 19734239 28969474 39468478 57938948 78936956 101393159 202786318 405572636 420057373 840114746 1680229492 2940401611 5880803222 11761606444