Search a number
-
+
10045282410048 = 263149351135431
BaseRepresentation
bin1001001000101101100101…
…1111010101111001000000
31022120022122000002000122110
42102023121133111321000
52304040214244110143
633210423344135320
72054514314441424
oct222133137257100
938508560060573
1010045282410048
1132231a90499a6
121162a14907540
1357b35c718cb2
1426a2a10b2b84
1512647a568533
hex922d97d5e40

10045282410048 has 56 divisors (see below), whose sum is σ = 26756519918400. Its totient is φ = 3325954792960.

The previous prime is 10045282410043. The next prime is 10045282410073. The reversal of 10045282410048 is 84001428254001.

It is a super-2 number, since 2×100452824100482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10045282409988 and 10045282410015.

It is not an unprimeable number, because it can be changed into a prime (10045282410043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175539108 + ... + 175596323.

Almost surely, 210045282410048 is an apocalyptic number.

It is an amenable number.

10045282410048 is an abundant number, since it is smaller than the sum of its proper divisors (16711237508352).

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

10045282410048 is a wasteful number, since it uses less digits than its factorization.

10045282410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351135595 (or 351135585 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 10045282410048 in words is "ten trillion, forty-five billion, two hundred eighty-two million, four hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 4768 7152 9536 14304 28608 351135431 702270862 1053406293 1404541724 2106812586 2809083448 4213625172 5618166896 8427250344 11236333792 16854500688 22472667584 33709001376 52319179219 67418002752 104638358438 156957537657 209276716876 313915075314 418553433752 627830150628 837106867504 1255660301256 1674213735008 2511320602512 3348427470016 5022641205024 10045282410048