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10555026160 = 2457139135599
BaseRepresentation
bin10011101010010000…
…01110101011110000
31000020121010212212211
421311020032223300
5133104041314120
64503210501504
7522364146010
oct116510165360
930217125784
1010555026160
114527045418
122066a34894
13cc299a613
14721b5dc40
1541b99525a
hex27520eaf0

10555026160 has 80 divisors (see below), whose sum is σ = 28248192000. Its totient is φ = 3592804608.

The previous prime is 10555026137. The next prime is 10555026169. The reversal of 10555026160 is 6162055501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105550261602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555026169) 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, 10041 + ... + 145639.

It is an arithmetic number, because the mean of its divisors is an integer number (353102400).

Almost surely, 210555026160 is an apocalyptic number.

10555026160 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 10555026160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124096000).

10555026160 is an abundant number, since it is smaller than the sum of its proper divisors (17693165840).

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

10555026160 is a wasteful number, since it uses less digits than its factorization.

10555026160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135758 (or 135752 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 10555026160 in words is "ten billion, five hundred fifty-five million, twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 278 280 556 560 695 973 1112 1390 1946 2224 2780 3892 4865 5560 7784 9730 11120 15568 19460 38920 77840 135599 271198 542396 677995 949193 1084792 1355990 1898386 2169584 2711980 3796772 4745965 5423960 7593544 9491930 10847920 15187088 18848261 18983860 37696522 37967720 75393044 75935440 94241305 131937827 150786088 188482610 263875654 301572176 376965220 527751308 659689135 753930440 1055502616 1319378270 1507860880 2111005232 2638756540 5277513080 10555026160