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10556840328 = 2334711538117
BaseRepresentation
bin10011101010011110…
…01001100110001000
31000020201120001110020
421311033021212020
5133110022342303
64503313420440
7522415443066
oct116517114610
930221501406
1010556840328
114528074431
12206756a720
13cc31842a8
147220b3036
1541bc02a53
hex2753c9988

10556840328 has 64 divisors (see below), whose sum is σ = 26980335360. Its totient is φ = 3440664576.

The previous prime is 10556840321. The next prime is 10556840339. The reversal of 10556840328 is 82304865501.

It is a super-2 number, since 2×105568403282 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10556840328.

It is not an unprimeable number, because it can be changed into a prime (10556840321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296526 + ... + 1304642.

It is an arithmetic number, because the mean of its divisors is an integer number (421567740).

Almost surely, 210556840328 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 10556840328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490167680).

10556840328 is an abundant number, since it is smaller than the sum of its proper divisors (16423495032).

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

10556840328 is a wasteful number, since it uses less digits than its factorization.

10556840328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 10556840328 in words is "ten billion, five hundred fifty-six million, eight hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1153 2306 3459 4612 6918 8117 9224 13836 16234 24351 27672 32468 48702 54191 64936 97404 108382 162573 194808 216764 325146 381499 433528 650292 762998 1144497 1300584 1525996 2288994 3051992 4577988 9155976 9358901 18717802 28076703 37435604 56153406 74871208 112306812 224613624 439868347 879736694 1319605041 1759473388 2639210082 3518946776 5278420164 10556840328