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10042251424 = 251773252877
BaseRepresentation
bin10010101101001000…
…01001100010100000
3221220212021020011221
421112210021202200
5131031304021144
64340252144424
7503566504642
oct112644114240
927825236157
1010042251424
114293653147
121b43168114
13c40691a0a
146b3a00892
153db956d84
hex2569098a0

10042251424 has 48 divisors (see below), whose sum is σ = 21220510248. Its totient is φ = 4661010432.

The previous prime is 10042251379. The next prime is 10042251491. The reversal of 10042251424 is 42415224001.

It can be written as a sum of positive squares in 4 ways, for example, as 9631459600 + 410791824 = 98140^2 + 20268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86727 + ... + 166150.

Almost surely, 210042251424 is an apocalyptic number.

It is an amenable number.

10042251424 is an abundant number, since it is smaller than the sum of its proper divisors (11178258824).

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

10042251424 is a wasteful number, since it uses less digits than its factorization.

10042251424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252977 (or 252969 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10042251424 its reverse (42415224001), we get a palindrome (52457475425).

The spelling of 10042251424 in words is "ten billion, forty-two million, two hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 4964 9928 19856 39712 252877 505754 1011508 2023016 4046032 4298909 8092064 8597818 17195636 18460021 34391272 36920042 68782544 73840084 137565088 147680168 295360336 313820357 590720672 627640714 1255281428 2510562856 5021125712 10042251424