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3424716658801 = 191296892
BaseRepresentation
bin110001110101100001000…
…001010001100001110001
3110010101210101121000012101
4301311201001101201301
5422102304431040201
611141143151300401
7502266446201614
oct61654101214161
913111711530171
103424716658801
1111004612a9719
1247389681a701
131bac45a8a329
14bba8596817b
155e140ee1d01
hex31d61051871

3424716658801 has 9 divisors (see below), whose sum is σ = 3443096350603. Its totient is φ = 3406434591280.

The previous prime is 3424716658793. The next prime is 3424716658813. The reversal of 3424716658801 is 1088566174243.

The square root of 3424716658801 is 1850599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1911718257201 + 1512998401600 = 1382649^2 + 1230040^2 .

It is not a de Polignac number, because 3424716658801 - 23 = 3424716658793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3424716658001) 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 8 ways as a sum of consecutive naturals, for example, 353459565 + ... + 353469253.

Almost surely, 23424716658801 is an apocalyptic number.

3424716658801 is the 1850599-th square number.

3424716658801 is the 925300-th centered octagonal number.

It is an amenable number.

3424716658801 is a deficient number, since it is larger than the sum of its proper divisors (18379691802).

3424716658801 is an frugal number, since it uses more digits than its factorization.

3424716658801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19760 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 3424716658801 in words is "three trillion, four hundred twenty-four billion, seven hundred sixteen million, six hundred fifty-eight thousand, eight hundred one".

Divisors: 1 191 9689 36481 1850599 93876721 353464409 17930453711 3424716658801