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13685242520 = 2358316724683
BaseRepresentation
bin11001011111011010…
…00011101010011000
31022022202012100111002
430233231003222120
5211011410230040
610141550124132
7663063433145
oct145755035230
938282170432
1013685242520
115892a65294
12279b1b0648
1313a1344c51
1493b7813cc
155516aba15
hex32fb43a98

13685242520 has 64 divisors (see below), whose sum is σ = 31350654720. Its totient is φ = 5375542144.

The previous prime is 13685242507. The next prime is 13685242561. The reversal of 13685242520 is 2524258631.

It is a happy number.

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, 542099 + ... + 566781.

It is an arithmetic number, because the mean of its divisors is an integer number (489853980).

Almost surely, 213685242520 is an apocalyptic number.

13685242520 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 13685242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675327360).

13685242520 is an abundant number, since it is smaller than the sum of its proper divisors (17665412200).

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

13685242520 is a wasteful number, since it uses less digits than its factorization.

13685242520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24944 (or 24940 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 13685242520 in words is "thirteen billion, six hundred eighty-five million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 167 332 334 415 664 668 830 835 1336 1660 1670 3320 3340 6680 13861 24683 27722 49366 55444 69305 98732 110888 123415 138610 197464 246830 277220 493660 554440 987320 2048689 4097378 4122061 8194756 8244122 10243445 16389512 16488244 20486890 20610305 32976488 40973780 41220610 81947560 82441220 164882440 342131063 684262126 1368524252 1710655315 2737048504 3421310630 6842621260 13685242520