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13685869312 = 281729108439
BaseRepresentation
bin11001011111011110…
…11100101100000000
31022022210101012021121
430233233130230000
5211012040304222
610142011402024
7663101653423
oct145757345400
938283335247
1013685869312
1158933531a5
12279b453314
1313a150432b
1493b8a59ba
155517825c7
hex32fbdcb00

13685869312 has 72 divisors (see below), whose sum is σ = 29922933600. Its totient is φ = 6218268672.

The previous prime is 13685869303. The next prime is 13685869313. The reversal of 13685869312 is 21396858631.

It is a self number, because there is not a number n which added to its sum of digits gives 13685869312.

It is not an unprimeable number, because it can be changed into a prime (13685869313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71989 + ... + 180427.

It is an arithmetic number, because the mean of its divisors is an integer number (415596300).

Almost surely, 213685869312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13685869312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961466800).

13685869312 is an abundant number, since it is smaller than the sum of its proper divisors (16237064288).

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

13685869312 is a wasteful number, since it uses less digits than its factorization.

13685869312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108501 (or 108487 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The spelling of 13685869312 in words is "thirteen billion, six hundred eighty-five million, eight hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 464 493 544 928 986 1088 1856 1972 2176 3712 3944 4352 7424 7888 15776 31552 63104 108439 126208 216878 433756 867512 1735024 1843463 3144731 3470048 3686926 6289462 6940096 7373852 12578924 13880192 14747704 25157848 27760384 29495408 50315696 53460427 58990816 100631392 106920854 117981632 201262784 213841708 235963264 402525568 427683416 471926528 805051136 855366832 1710733664 3421467328 6842934656 13685869312