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256735001450152 = 23292349109338641
BaseRepresentation
bin111010010111111111000110…
…100100000001011010101000
31020200000121220200020011112001
4322113333012210001122220
5232122321240332401102
62310010233105500344
7105035330445556621
oct7227770644013250
91220017820204461
10256735001450152
1174892780283a95
1224964b686416b4
13b034011abc614
14475807cac8a48
151ea33ee9a9487
hexe97fc69016a8

256735001450152 has 48 divisors (see below), whose sum is σ = 499978275205500. Its totient is φ = 123585902146560.

The previous prime is 256735001450143. The next prime is 256735001450281. The reversal of 256735001450152 is 251054100537652.

256735001450152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 168050102535396 + 88684898914756 = 12963414^2 + 9417266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52321249 + ... + 57017392.

Almost surely, 2256735001450152 is an apocalyptic number.

It is an amenable number.

256735001450152 is a deficient number, since it is larger than the sum of its proper divisors (243243273755348).

256735001450152 is a wasteful number, since it uses less digits than its factorization.

256735001450152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109339054 (or 109339021 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 46.

The spelling of 256735001450152 in words is "two hundred fifty-six trillion, seven hundred thirty-five billion, one million, four hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 29 58 116 232 349 698 841 1396 1682 2792 3364 6728 10121 20242 40484 80968 293509 587018 1174036 2348072 109338641 218677282 437354564 874709128 3170820589 6341641178 12683282356 25366564712 38159185709 76318371418 91953797081 152636742836 183907594162 305273485672 367815188324 735630376648 1106616385561 2213232771122 4426465542244 8852931084488 32091875181269 64183750362538 128367500725076 256735001450152