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13897471423680 = 2634513217431433
BaseRepresentation
bin1100101000111100000111…
…0110001111010011000000
31211012120210200022121220000
43022033001312033103000
53310144010141024210
645320224335520000
72633026204004325
oct312170166172300
954176720277800
1013897471423680
114478980348799
12168550b089000
1379a6ab61b100
143608d967cb4c
15191789be0ac0
hexca3c1d8f4c0

13897471423680 has 1680 divisors, whose sum is σ = 56942615689344. Its totient is φ = 3204796907520.

The previous prime is 13897471423673. The next prime is 13897471423681. The reversal of 13897471423680 is 8632417479831.

13897471423680 is a `hidden beast` number, since 1 + 3 + 8 + 97 + 47 + 1 + 423 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13897471423681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32095776744 + ... + 32095777176.

Almost surely, 213897471423680 is an apocalyptic number.

13897471423680 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 13897471423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28471307844672).

13897471423680 is an abundant number, since it is smaller than the sum of its proper divisors (43045144265664).

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

13897471423680 is a wasteful number, since it uses less digits than its factorization.

13897471423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 13897471423680 in words is "thirteen trillion, eight hundred ninety-seven billion, four hundred seventy-one million, four hundred twenty-three thousand, six hundred eighty".