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13814912188 = 2271132371227
BaseRepresentation
bin11001101110110111…
…01101010010111100
31022122210012020211101
430313123231102330
5211243104142223
610202501302444
7666226546630
oct146733552274
938583166741
1013814912188
11594a181000
122816704a24
1313c217626c
14950a96dc0
1555cc724ad
hex3376ed4bc

13814912188 has 192 divisors, whose sum is σ = 32300384256. Its totient is φ = 5053540800.

The previous prime is 13814912101. The next prime is 13814912191. The reversal of 13814912188 is 88121941831.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60858531 + ... + 60858757.

It is an arithmetic number, because the mean of its divisors is an integer number (168231168).

Almost surely, 213814912188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814912188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150192128).

13814912188 is an abundant number, since it is smaller than the sum of its proper divisors (18485472068).

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

13814912188 is a wasteful number, since it uses less digits than its factorization.

13814912188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

The product of its digits is 110592, while the sum is 46.

The spelling of 13814912188 in words is "thirteen billion, eight hundred fourteen million, nine hundred twelve thousand, one hundred eighty-eight".