Search a number
-
+
73451298361 = 7455312
BaseRepresentation
bin100010001101000001…
…0011101111000111001
321000120221120120011211
41010122002131320321
52200412013021421
653424300123121
75210122510000
oct1043202357071
9230527516154
1073451298361
1129172385671
121229a8364a1
136c0749182c
1437ab137c37
151d9d5ec9e1
hex111a09de39

73451298361 has 15 divisors (see below), whose sum is σ = 85703577893. Its totient is φ = 62946872940.

The previous prime is 73451298341. The next prime is 73451298379. The reversal of 73451298361 is 16389215437.

The square root of 73451298361 is 271019.

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

It is not a de Polignac number, because 73451298361 - 29 = 73451297849 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73451298311) 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 14 ways as a sum of consecutive naturals, for example, 13277166 + ... + 13282696.

Almost surely, 273451298361 is an apocalyptic number.

73451298361 is the 271019-th square number.

73451298361 is the 135510-th centered octagonal number.

It is an amenable number.

73451298361 is a deficient number, since it is larger than the sum of its proper divisors (12252279532).

73451298361 is an frugal number, since it uses more digits than its factorization.

73451298361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 5538 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

Multiplying 73451298361 by its sum of digits (49), we get a square (3599113619689 = 18971332).

73451298361 divided by its sum of digits (49) gives a square (1499006089 = 387172).

The spelling of 73451298361 in words is "seventy-three billion, four hundred fifty-one million, two hundred ninety-eight thousand, three hundred sixty-one".

Divisors: 1 7 49 343 2401 5531 38717 271019 1897133 13279931 30591961 214143727 1499006089 10493042623 73451298361