Search a number
-
+
54726944962745 = 51121919132488727
BaseRepresentation
bin11000111000110000111000…
…00111010011100010111001
321011202211210220001021221002
430130120130013103202321
524133121240402301440
6312221113400454345
714345614466566406
oct1434303407234271
9234684726037832
1054726944962745
111648a626780700
12617a54717a3b5
13246c962139083
14d72b266452ad
1564d8904d5115
hex31c61c1d38b9

54726944962745 has 48 divisors (see below), whose sum is σ = 76024269256320. Its totient is φ = 37686877367040.

The previous prime is 54726944962721. The next prime is 54726944962861.

54726944962745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54726944962745 - 234 = 54709765093561 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20745572 + ... + 23234298.

It is an arithmetic number, because the mean of its divisors is an integer number (1583838942840).

Almost surely, 254726944962745 is an apocalyptic number.

54726944962745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54726944962745 is a deficient number, since it is larger than the sum of its proper divisors (21297324293575).

54726944962745 is a wasteful number, since it uses less digits than its factorization.

54726944962745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490686 (or 2490675 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 74.

The spelling of 54726944962745 in words is "fifty-four trillion, seven hundred twenty-six billion, nine hundred forty-four million, nine hundred sixty-two thousand, seven hundred forty-five".

Divisors: 1 5 11 19 55 95 121 209 605 1045 1913 2299 9565 11495 21043 36347 105215 181735 231473 399817 1157365 1999085 2488727 4397987 12443635 21989935 27375997 47285813 136879985 236429065 301135967 520143943 1505679835 2600719715 4760934751 5721583373 23804673755 28607916865 52370282261 90457760269 261851411305 452288801345 576073104871 995035362959 2880365524355 4975176814795 10945388992549 54726944962745