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13928860655028 = 223311219107524287
BaseRepresentation
bin1100101010110001000011…
…0010101001110110110100
31211022120211020200210102000
43022230100302221312310
53311202301311430103
645342455200015300
72635220103035334
oct312542062516664
954276736623360
1013928860655028
114490218795900
12168b60b301530
137a0641761297
143622363d50c4
151924c5783aa3
hexcab10ca9db4

13928860655028 has 288 divisors, whose sum is σ = 42172887859200. Its totient is φ = 3961337244480.

The previous prime is 13928860654991. The next prime is 13928860655029. The reversal of 13928860655028 is 82055606882931.

13928860655028 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 8 + 8 + 60 + 65 + 502 + 8 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13928860655029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26305101 + ... + 26829387.

It is an arithmetic number, because the mean of its divisors is an integer number (146433638400).

Almost surely, 213928860655028 is an apocalyptic number.

13928860655028 is a gapful number since it is divisible by the number (18) 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 13928860655028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21086443929600).

13928860655028 is an abundant number, since it is smaller than the sum of its proper divisors (28244027204172).

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

13928860655028 is a wasteful number, since it uses less digits than its factorization.

13928860655028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524448 (or 524429 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 13928860655028 in words is "thirteen trillion, nine hundred twenty-eight billion, eight hundred sixty million, six hundred fifty-five thousand, twenty-eight".