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11293550060 = 22513216012087
BaseRepresentation
bin10101000010010010…
…11110010111101100
31002011001210210012212
422201021132113230
5141112122100220
65104351545552
7546602406632
oct124111362754
932131723185
1011293550060
114875a07351
12223222b2b8
1310ac9a7700
14791c85352
154617270c5
hex2a125e5ec

11293550060 has 72 divisors (see below), whose sum is σ = 25709485536. Its totient is φ = 4165324800.

The previous prime is 11293550017. The next prime is 11293550101. The reversal of 11293550060 is 6005539211.

11293550060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11293549999 and 11293550026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5410337 + ... + 5412423.

It is an arithmetic number, because the mean of its divisors is an integer number (357076188).

Almost surely, 211293550060 is an apocalyptic number.

11293550060 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 11293550060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854742768).

11293550060 is an abundant number, since it is smaller than the sum of its proper divisors (14415935476).

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

11293550060 is a wasteful number, since it uses less digits than its factorization.

11293550060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The spelling of 11293550060 in words is "eleven billion, two hundred ninety-three million, five hundred fifty thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1601 1690 2087 3202 3380 4174 6404 8005 8348 10435 16010 20813 20870 27131 32020 41626 41740 54262 83252 104065 108524 135655 208130 270569 271310 352703 416260 541138 542620 705406 1082276 1352845 1410812 1763515 2705690 3341287 3527030 5411380 6682574 7054060 13365148 16706435 33412870 43436731 66825740 86873462 173746924 217183655 434367310 564677503 868734620 1129355006 2258710012 2823387515 5646775030 11293550060