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10902957144 = 2334185912899
BaseRepresentation
bin10100010011101110…
…11110110001011000
31001010211211121110120
422021313132301120
5134312124112034
65001520113240
7534120415032
oct121167366130
931124747416
1010902957144
114695487092
122143465820
131049aaab41
1475604cc52
1543c2c0c49
hex289ddec58

10902957144 has 64 divisors (see below), whose sum is σ = 27956880000. Its totient is φ = 3541274880.

The previous prime is 10902957119. The next prime is 10902957161. The reversal of 10902957144 is 44175920901.

It is a junction number, because it is equal to n+sod(n) for n = 10902957096 and 10902957105.

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, 838807 + ... + 851705.

It is an arithmetic number, because the mean of its divisors is an integer number (436826250).

Almost surely, 210902957144 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 10902957144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978440000).

10902957144 is an abundant number, since it is smaller than the sum of its proper divisors (17053922856).

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

10902957144 is a wasteful number, since it uses less digits than its factorization.

10902957144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13808 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 10902957144 in words is "ten billion, nine hundred two million, nine hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 859 984 1718 2577 3436 5154 6872 10308 12899 20616 25798 35219 38697 51596 70438 77394 103192 105657 140876 154788 211314 281752 309576 422628 528859 845256 1057718 1586577 2115436 3173154 4230872 6346308 11080241 12692616 22160482 33240723 44320964 66481446 88641928 132962892 265925784 454289881 908579762 1362869643 1817159524 2725739286 3634319048 5451478572 10902957144