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13875137626374 = 233439761603211
BaseRepresentation
bin1100100111101000111010…
…1001100100000100000110
31211010110011012100011121000
43021322032221210010012
53304312240213020444
645302052241034130
72631305562603543
oct311721651440406
954113135304530
1013875137626374
11446a45a514272
121681117625946
1379855c596b2b
1435d7bb44bbca
15190dce129469
hexc9e8ea64106

13875137626374 has 64 divisors (see below), whose sum is σ = 31875966017280. Its totient is φ = 4470914568960.

The previous prime is 13875137626373. The next prime is 13875137626379. The reversal of 13875137626374 is 47362673157831.

13875137626374 is a `hidden beast` number, since 1 + 3 + 8 + 75 + 137 + 62 + 6 + 374 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875137626373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30576372 + ... + 31026839.

It is an arithmetic number, because the mean of its divisors is an integer number (498061969020).

Almost surely, 213875137626374 is an apocalyptic number.

13875137626374 is an abundant number, since it is smaller than the sum of its proper divisors (18000828390906).

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

13875137626374 is a wasteful number, since it uses less digits than its factorization.

13875137626374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61603362 (or 61603356 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 13875137626374 in words is "thirteen trillion, eight hundred seventy-five billion, one hundred thirty-seven million, six hundred twenty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 97 129 194 258 291 387 582 774 873 1161 1746 2322 2619 4171 5238 8342 12513 25026 37539 75078 112617 225234 61603211 123206422 184809633 369619266 554428899 1108857798 1663286697 2648938073 3326573394 5297876146 5975511467 7946814219 11951022934 15893628438 17926534401 23840442657 35853068802 47680885314 53779603203 71521327971 107559206406 143042655942 161338809609 256946993081 322677619218 513893986162 770840979243 1541681958486 2312522937729 4625045875458 6937568813187 13875137626374