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454250388361 = 7211287532
BaseRepresentation
bin1101001110000110110…
…11101101101110001001
31121102111111020122022211
412213003123231232021
524420301044411421
6544402454145121
744550514410400
oct6470333555611
91542444218284
10454250388361
11165712558100
12740536521a1
1333ab2b49b63
1417db31c4637
15bc394c29e1
hex69c36edb89

454250388361 has 27 divisors (see below), whose sum is σ = 580884747303. Its totient is φ = 353920902720.

The previous prime is 454250388299. The next prime is 454250388367. The reversal of 454250388361 is 163883052454.

The square root of 454250388361 is 673981.

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., 396238775625 + 58011612736 = 629475^2 + 240856^2 .

It is not a de Polignac number, because 454250388361 - 221 = 454248291209 is a prime.

It is a super-2 number, since 2×4542503883612 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (454250388367) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51892161 + ... + 51900913.

Almost surely, 2454250388361 is an apocalyptic number.

454250388361 is the 673981-st square number.

454250388361 is the 336991-st centered octagonal number.

It is an amenable number.

454250388361 is a deficient number, since it is larger than the sum of its proper divisors (126634358942).

454250388361 is an frugal number, since it uses more digits than its factorization.

454250388361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17542 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

Multiplying 454250388361 by its sum of digits (49), we get a square (22258269029689 = 47178672).

454250388361 divided by its sum of digits (49) gives a square (9270416089 = 962832).

The spelling of 454250388361 in words is "four hundred fifty-four billion, two hundred fifty million, three hundred eighty-eight thousand, three hundred sixty-one".

Divisors: 1 7 11 49 77 121 539 847 5929 8753 61271 96283 428897 673981 1059113 4717867 7413791 51896537 76615009 536305063 842765099 3754135441 5899355693 9270416089 41295489851 64892912623 454250388361