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13885375410 = 23251039671549
BaseRepresentation
bin11001110111010001…
…00000001110110010
31022211200210011012100
430323220200032302
5211414124003120
610213455441230
71001043513024
oct147350401662
938750704170
1013885375410
115985a29075
122836226216
13140394788a
1495a19a014
15564040490
hex33ba203b2

13885375410 has 96 divisors (see below), whose sum is σ = 36513734400. Its totient is φ = 3660660864.

The previous prime is 13885375349. The next prime is 13885375423. The reversal of 13885375410 is 1457358831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8963316 + ... + 8964864.

It is an arithmetic number, because the mean of its divisors is an integer number (380351400).

Almost surely, 213885375410 is an apocalyptic number.

13885375410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13885375410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256867200).

13885375410 is an abundant number, since it is smaller than the sum of its proper divisors (22628358990).

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

13885375410 is a wasteful number, since it uses less digits than its factorization.

13885375410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 13885375410 in words is "thirteen billion, eight hundred eighty-five million, three hundred seventy-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 967 1030 1545 1549 1854 1934 2901 3090 3098 4635 4647 4835 5802 7745 8703 9270 9294 9670 13941 14505 15490 17406 23235 27882 29010 43515 46470 69705 87030 99601 139410 159547 199202 298803 319094 478641 498005 597606 797735 896409 957282 996010 1435923 1494015 1497883 1595470 1792818 2393205 2871846 2988030 2995766 4482045 4493649 4786410 7179615 7489415 8964090 8987298 13480947 14359230 14978830 22468245 26961894 44936490 67404735 134809470 154281949 308563898 462845847 771409745 925691694 1388537541 1542819490 2314229235 2777075082 4628458470 6942687705 13885375410