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11686172881760 = 2551323604340423
BaseRepresentation
bin1010101000001110011000…
…1011101111001101100000
31112101012001110222200122222
42222003212023233031200
53012431240224204020
640504315333450212
72314204154351636
oct252034613571540
945335043880588
1011686172881760
1137a6094a2aa63
121388a377a0968
1366a003033010
142c5884327356
15153eb68ccb25
hexaa0e62ef360

11686172881760 has 192 divisors, whose sum is σ = 31030931893248. Its totient is φ = 4126505416704.

The previous prime is 11686172881753. The next prime is 11686172881763. The reversal of 11686172881760 is 6718827168611.

It is a junction number, because it is equal to n+sod(n) for n = 11686172881693 and 11686172881702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11686172881763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289076909 + ... + 289117331.

It is an arithmetic number, because the mean of its divisors is an integer number (161619436944).

Almost surely, 211686172881760 is an apocalyptic number.

11686172881760 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 11686172881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515465946624).

11686172881760 is an abundant number, since it is smaller than the sum of its proper divisors (19344759011488).

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

11686172881760 is a wasteful number, since it uses less digits than its factorization.

11686172881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46517 (or 46509 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 62.

The spelling of 11686172881760 in words is "eleven trillion, six hundred eighty-six billion, one hundred seventy-two million, eight hundred eighty-one thousand, seven hundred sixty".