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13839556374 = 2337222872
BaseRepresentation
bin11001110001110011…
…01101111100010110
31022201111120022022000
430320321231330112
5211320411300444
610205141420130
7666646200600
oct147071557426
938644508260
1013839556374
1159620835a6
122822a0a646
1313c72c4517
14954070170
1555eede469
hex338e6df16

13839556374 has 72 divisors (see below), whose sum is σ = 35791373880. Its totient is φ = 3952429992.

The previous prime is 13839556373. The next prime is 13839556391. The reversal of 13839556374 is 47365593831.

13839556374 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 9 + 5 + 563 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13839556374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13839556373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6050259 + ... + 6052545.

It is an arithmetic number, because the mean of its divisors is an integer number (497102415).

Almost surely, 213839556374 is an apocalyptic number.

13839556374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13839556374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895686940).

13839556374 is an abundant number, since it is smaller than the sum of its proper divisors (21951817506).

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

13839556374 is an frugal number, since it uses more digits than its factorization.

13839556374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 2299 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

Multiplying 13839556374 by its sum of digits (54), we get a square (747336044196 = 8644862).

13839556374 divided by its sum of digits (54) gives a square (256288081 = 160092).

The spelling of 13839556374 in words is "thirteen billion, eight hundred thirty-nine million, five hundred fifty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2287 2646 4574 6861 13722 16009 20583 32018 41166 48027 61749 96054 112063 123498 144081 224126 288162 336189 432243 672378 864486 1008567 2017134 3025701 5230369 6051402 10460738 15691107 31382214 36612583 47073321 73225166 94146642 109837749 141219963 219675498 256288081 282439926 329513247 512576162 659026494 768864243 988539741 1537728486 1977079482 2306592729 4613185458 6919778187 13839556374