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13893894339192 = 23327371794162351
BaseRepresentation
bin1100101000101110110010…
…1000101111101001111000
31211012020120101101220110100
43022023230220233221320
53310114143422323232
645314433354315400
72632541440203510
oct312135450575170
954166511356410
1013893894339192
11447740516121a
121684891128b60
1379a25b50247a
1436067a576840
1519162ab58c7c
hexca2eca2fa78

13893894339192 has 192 divisors, whose sum is σ = 44413960780800. Its totient is φ = 3840816787200.

The previous prime is 13893894339191. The next prime is 13893894339203. The reversal of 13893894339192 is 29193349839831.

13893894339192 is a `hidden beast` number, since 1 + 3 + 89 + 38 + 9 + 43 + 391 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13893894339192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13893894339191) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1256817 + ... + 5419167.

It is an arithmetic number, because the mean of its divisors is an integer number (231322712400).

Almost surely, 213893894339192 is an apocalyptic number.

13893894339192 is a gapful number since it is divisible by the number (12) 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 13893894339192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206980390400).

13893894339192 is an abundant number, since it is smaller than the sum of its proper divisors (30520066441608).

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

13893894339192 is a wasteful number, since it uses less digits than its factorization.

13893894339192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162586 (or 4162579 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 13893894339192 in words is "thirteen trillion, eight hundred ninety-three billion, eight hundred ninety-four million, three hundred thirty-nine thousand, one hundred ninety-two".