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10280346050 = 25213211032
BaseRepresentation
bin10011001001100000…
…11010000111000010
3222112110021200121102
421210300122013002
5132023232033200
64420035254402
7512520333242
oct114460320702
928473250542
1010280346050
1143a5a95167
121baaa4a402
13c7aac6500
146d749bb22
154027d86d5
hex264c1a1c2

10280346050 has 54 divisors (see below), whose sum is σ = 20724257547. Its totient is φ = 3792378720.

The previous prime is 10280346031. The next prime is 10280346059. The reversal of 10280346050 is 5064308201.

It can be written as a sum of positive squares in 5 ways, for example, as 643586161 + 9636759889 = 25369^2 + 98167^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71695.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10280346059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9319799 + ... + 9320901.

Almost surely, 210280346050 is an apocalyptic number.

10280346050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10280346050 is an abundant number, since it is smaller than the sum of its proper divisors (10443911497).

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

10280346050 is an equidigital number, since it uses as much as digits as its factorization.

10280346050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 10280346050 in words is "ten billion, two hundred eighty million, three hundred forty-six thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 169 325 338 650 845 1103 1690 2206 4225 5515 8450 11030 14339 27575 28678 55150 71695 143390 186407 358475 372814 716950 932035 1216609 1864070 2433218 4660175 6083045 9320350 12166090 15815917 30415225 31631834 60830450 79079585 158159170 205606921 395397925 411213842 790795850 1028034605 2056069210 5140173025 10280346050