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4634450653456 = 241331223185237
BaseRepresentation
bin100001101110000101011…
…0010001111000100010000
3121102001022211112021120101
41003130022302033010100
51101412323331402311
613505012013222144
7655554002404051
oct103341262170420
917361284467511
104634450653456
111527506634a98
1262a230191954
13278046c07990
14120446b70728
1580845543ec1
hex4370ac8f110

4634450653456 has 60 divisors (see below), whose sum is σ = 9991956538956. Its totient is φ = 2069977870080.

The previous prime is 4634450653451. The next prime is 4634450653499. The reversal of 4634450653456 is 6543560544364.

It can be written as a sum of positive squares in 2 ways, for example, as 323096749056 + 4311353904400 = 568416^2 + 2076380^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4634450653397 and 4634450653406.

It is not an unprimeable number, because it can be changed into a prime (4634450653451) by changing a digit.

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, 11392731 + ... + 11792506.

Almost surely, 24634450653456 is an apocalyptic number.

It is an amenable number.

4634450653456 is an abundant number, since it is smaller than the sum of its proper divisors (5357505885500).

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

4634450653456 is a wasteful number, since it uses less digits than its factorization.

4634450653456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23185320 (or 23185283 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 55.

The spelling of 4634450653456 in words is "four trillion, six hundred thirty-four billion, four hundred fifty million, six hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 961 1612 1922 3224 3844 6448 7688 12493 15376 24986 49972 99944 199888 23185237 46370474 92740948 185481896 301408081 370963792 602816162 718742347 1205632324 1437484694 2411264648 2874969388 4822529296 5749938776 9343650511 11499877552 18687301022 22281012757 37374602044 44562025514 74749204088 89124051028 149498408176 178248102056 289653165841 356496204112 579306331682 1158612663364 2317225326728 4634450653456