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13863212640 = 253353209077
BaseRepresentation
bin11001110100100111…
…11101011001100000
31022210011002011121000
430322103331121200
5211342440301030
610211344432000
71000354235364
oct147223753140
938704064530
1013863212640
115974470932
12282a918600
1313cc187c04
1495726b2a4
15562113860
hex33a4fd660

13863212640 has 96 divisors (see below), whose sum is σ = 48521259360. Its totient is φ = 3696855552.

The previous prime is 13863212609. The next prime is 13863212653. The reversal of 13863212640 is 4621236831.

13863212640 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 3 + 2 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13863212595 and 13863212604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600219 + ... + 1608858.

It is an arithmetic number, because the mean of its divisors is an integer number (505429785).

Almost surely, 213863212640 is an apocalyptic number.

13863212640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13863212640 is an abundant number, since it is smaller than the sum of its proper divisors (34658046720).

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

13863212640 is a wasteful number, since it uses less digits than its factorization.

13863212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209101 (or 3209087 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13863212640 in words is "thirteen billion, eight hundred sixty-three million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 3209077 6418154 9627231 12836308 16045385 19254462 25672616 28881693 32090770 38508924 48136155 51345232 57763386 64181540 77017848 86645079 96272310 102690464 115526772 128363080 144408465 154035696 173290158 192544620 231053544 256726160 288816930 308071392 346580316 385089240 433225395 462107088 513452320 577633860 693160632 770178480 866450790 924214176 1155267720 1386321264 1540356960 1732901580 2310535440 2772642528 3465803160 4621070880 6931606320 13863212640