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3629790057256 = 231123817798221
BaseRepresentation
bin110100110100100000010…
…110001101001100101000
3110212000010022101001000021
4310310200112031030220
5433432302223313011
611415300314050224
7523146403263016
oct64644026151450
913760108331007
103629790057256
11117a42694a200
124a7589419974
132043981c670c
14c797b7758b6
1564644a6a471
hex34d2058d328

3629790057256 has 48 divisors (see below), whose sum is σ = 7481089434420. Its totient is φ = 1649844556800.

The previous prime is 3629790057227. The next prime is 3629790057263. The reversal of 3629790057256 is 6527500979263.

It can be written as a sum of positive squares in 2 ways, for example, as 2639864554756 + 989925502500 = 1624766^2 + 994950^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3629790057194 and 3629790057203.

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 11 ways as a sum of consecutive naturals, for example, 36906226 + ... + 37004446.

Almost surely, 23629790057256 is an apocalyptic number.

It is an amenable number.

3629790057256 is an abundant number, since it is smaller than the sum of its proper divisors (3851299377164).

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

3629790057256 is a wasteful number, since it uses less digits than its factorization.

3629790057256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136426 (or 136411 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 61.

The spelling of 3629790057256 in words is "three trillion, six hundred twenty-nine billion, seven hundred ninety million, fifty-seven thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 38177 76354 98221 152708 196442 305416 392884 419947 785768 839894 1080431 1679788 2160862 3359576 4321724 4619417 8643448 9238834 11884741 18477668 23769482 36955336 47538964 95077928 3749783117 7499566234 14999132468 29998264936 41247614287 82495228574 164990457148 329980914296 453723757157 907447514314 1814895028628 3629790057256