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13873885452 = 22327313834637
BaseRepresentation
bin11001110101111001…
…01011000100001100
31022210220011101221100
430322330223010030
5211403203313302
610212405303100
71000544036430
oct147274530414
938726141840
1013873885452
11597a4a0539
122832404a90
131401453a9b
149588489c0
15563020d1c
hex33af2b10c

13873885452 has 144 divisors (see below), whose sum is σ = 41489989632. Its totient is φ = 3825256320.

The previous prime is 13873885391. The next prime is 13873885507. The reversal of 13873885452 is 25458837831.

13873885452 is a `hidden beast` number, since 1 + 3 + 87 + 38 + 85 + 452 = 666.

13873885452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2989678 + ... + 2994314.

It is an arithmetic number, because the mean of its divisors is an integer number (288124928).

Almost surely, 213873885452 is an apocalyptic number.

13873885452 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 13873885452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744994816).

13873885452 is an abundant number, since it is smaller than the sum of its proper divisors (27616104180).

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

13873885452 is a wasteful number, since it uses less digits than its factorization.

13873885452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5063 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 13873885452 in words is "thirteen billion, eight hundred seventy-three million, eight hundred eighty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 383 434 558 651 766 868 1116 1149 1302 1532 1953 2298 2604 2681 3447 3906 4596 4637 5362 6894 7812 8043 9274 10724 11873 13788 13911 16086 18548 23746 24129 27822 32172 32459 35619 41733 47492 48258 55644 64918 71238 83111 83466 96516 97377 106857 129836 142476 143747 166222 166932 194754 213714 249333 287494 292131 332444 389508 427428 431241 498666 574988 584262 747999 862482 997332 1006229 1168524 1293723 1495998 1724964 1775971 2012458 2587446 2991996 3018687 3551942 4024916 5174892 5327913 6037374 7103884 9056061 10655826 12074748 12431797 15983739 18112122 21311652 24863594 31967478 36224244 37295391 49727188 55055101 63934956 74590782 110110202 111886173 149181564 165165303 220220404 223772346 330330606 385385707 447544692 495495909 660661212 770771414 990991818 1156157121 1541542828 1981983636 2312314242 3468471363 4624628484 6936942726 13873885452