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13872604204368 = 24327131058654167
BaseRepresentation
bin1100100111011111011110…
…1001010100110101010000
31211010012121122020222221100
43021313313221110311100
53304242043134014433
645300553021024400
72631156031064550
oct311676751246520
954105548228840
1013872604204368
11446937a462878
12168072b0b5100
13798247764c60
1435d61abbb160
15190cd19eab13
hexc9df7a54d50

13872604204368 has 120 divisors (see below), whose sum is σ = 47783414526848. Its totient is φ = 3658708797696.

The previous prime is 13872604204363. The next prime is 13872604204427. The reversal of 13872604204368 is 86340240627831.

13872604204368 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 2 + 604 + 20 + 4 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×138726042043682 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13872604204363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529313980 + ... + 529340187.

Almost surely, 213872604204368 is an apocalyptic number.

13872604204368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13872604204368 is an abundant number, since it is smaller than the sum of its proper divisors (33910810322480).

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

13872604204368 is a wasteful number, since it uses less digits than its factorization.

13872604204368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058654201 (or 1058654192 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 13872604204368 in words is "thirteen trillion, eight hundred seventy-two billion, six hundred four million, two hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 1058654167 2117308334 3175962501 4234616668 6351925002 7410579169 8469233336 9527887503 12703850004 13762504171 14821158338 16938466672 19055775006 22231737507 25407700008 27525008342 29642316676 38111550012 41287512513 44463475014 50815400016 55050016684 59284633352 66695212521 76223100024 82575025026 88926950028 96337529197 110100033368 118569266704 123862537539 133390425042 152446200048 165150050052 177853900056 192675058394 220200066736 247725075078 266780850084 289012587591 330300100104 355707800112 385350116788 495450150156 533561700168 578025175182 660600200208 770700233576 867037762773 990900300312 1067123400336 1156050350364 1541400467152 1734075525546 1981800600624 2312100700728 3468151051092 4624201401456 6936302102184 13872604204368