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13872658720 = 255313677621
BaseRepresentation
bin11001110101101111…
…11111100100100000
31022210210212002011211
430322313333210200
5211402400034340
610212323115504
71000530440104
oct147267774440
938723762154
1013872658720
115979832908
122831b12b94
1314011145cb
14958609904
15562d7c5ea
hex33adff920

13872658720 has 96 divisors (see below), whose sum is σ = 33928022016. Its totient is φ = 5354726400.

The previous prime is 13872658717. The next prime is 13872658741. The reversal of 13872658720 is 2785627831.

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, 1816510 + ... + 1824130.

It is an arithmetic number, because the mean of its divisors is an integer number (353416896).

Almost surely, 213872658720 is an apocalyptic number.

13872658720 is a gapful number since it is divisible by the number (10) 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 13872658720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964011008).

13872658720 is an abundant number, since it is smaller than the sum of its proper divisors (20055363296).

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

13872658720 is a wasteful number, since it uses less digits than its factorization.

13872658720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 13872658720 in words is "thirteen billion, eight hundred seventy-two million, six hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 367 496 620 734 992 1240 1468 1835 2480 2936 3670 4960 5872 7340 7621 11377 11744 14680 15242 22754 29360 30484 38105 45508 56885 58720 60968 76210 91016 113770 121936 152420 182032 227540 236251 243872 304840 364064 455080 472502 609680 910160 945004 1181255 1219360 1820320 1890008 2362510 2796907 3780016 4725020 5593814 7560032 9450040 11187628 13984535 18900080 22375256 27969070 37800160 44750512 55938140 86704117 89501024 111876280 173408234 223752560 346816468 433520585 447505120 693632936 867041170 1387265872 1734082340 2774531744 3468164680 6936329360 13872658720