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45291926761 = 1922324872
BaseRepresentation
bin101010001011100110…
…111111010011101001
311022220110202021021221
4222023212333103221
51220224213124021
632450135102041
73162243011464
oct521346772351
9138813667257
1045291926761
1118232125a34
128940211921
13436a543383
1422993402db
1512a13a5241
hexa8b9bf4e9

45291926761 has 27 divisors (see below), whose sum is σ = 50072666301. Its totient is φ = 40958293464.

The previous prime is 45291926741. The next prime is 45291926767. The reversal of 45291926761 is 16762919254.

The square root of 45291926761 is 212819.

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

It is not a de Polignac number, because 45291926761 - 221 = 45289829609 is a prime.

It is a super-2 number, since 2×452919267612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45291926699 and 45291926708.

It is not an unprimeable number, because it can be changed into a prime (45291926767) 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, 93001660 + ... + 93002146.

Almost surely, 245291926761 is an apocalyptic number.

45291926761 is the 212819-th square number.

45291926761 is the 106410-th centered octagonal number.

It is an amenable number.

45291926761 is a deficient number, since it is larger than the sum of its proper divisors (4780739540).

45291926761 is an frugal number, since it uses more digits than its factorization.

45291926761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The spelling of 45291926761 in words is "forty-five billion, two hundred ninety-one million, nine hundred twenty-six thousand, seven hundred sixty-one".

Divisors: 1 19 23 361 437 487 529 8303 9253 10051 11201 175807 190969 212819 237169 257623 4043561 4506211 4894837 5454887 85618009 93001903 103642853 125462401 1969214207 2383785619 45291926761