Search a number
-
+
51145751211507 = 3237459133454769
BaseRepresentation
bin10111010000100010011000…
…10101010010110111110011
320201002111010100012101101200
423220101030111102313303
523200432444302232012
6300440011142102243
713526105252140011
oct1350211425226763
9221074110171350
1051145751211507
1115329878212487
1258a048071a983
13227003cc3c424
14c8b6790098b1
155da641e8a3dc
hex2e844c552df3

51145751211507 has 24 divisors (see below), whose sum is σ = 75890406096960. Its totient is φ = 33168395185920.

The previous prime is 51145751211497. The next prime is 51145751211539. The reversal of 51145751211507 is 70511215754115.

51145751211507 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 575 + 1 + 21 + 1 + 50 + 7 = 666.

51145751211507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51145751211507 - 211 = 51145751209459 is a prime.

It is a super-2 number, since 2×511457512115072 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51145751213507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15198582 + ... + 18256187.

It is an arithmetic number, because the mean of its divisors is an integer number (3162100254040).

Almost surely, 251145751211507 is an apocalyptic number.

51145751211507 is a deficient number, since it is larger than the sum of its proper divisors (24744654885453).

51145751211507 is a wasteful number, since it uses less digits than its factorization.

51145751211507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33459403 (or 33459400 counting only the distinct ones).

The product of its (nonzero) digits is 245000, while the sum is 45.

The spelling of 51145751211507 in words is "fifty-one trillion, one hundred forty-five billion, seven hundred fifty-one million, two hundred eleven thousand, five hundred seven".

Divisors: 1 3 9 37 111 333 4591 13773 41319 169867 509601 1528803 33454769 100364307 301092921 1237826453 3713479359 11140438077 153590844479 460772533437 1382317600311 5682861245723 17048583737169 51145751211507