Search a number
-
+
54640320862064 = 2472234394983401
BaseRepresentation
bin11000110110001111100001…
…11010100101011101110000
321011110120012220112001001212
430123013300322211131300
524130211334120041224
6312113230013415252
714336430042102050
oct1433076072453560
9234416186461055
1054640320862064
1116456914724753
1261657b0a9a528
132464738851b72
14d6c869c3d560
1564b4c06eed0e
hex31b1f0ea5770

54640320862064 has 80 divisors (see below), whose sum is σ = 121808697077760. Its totient is φ = 23259162355200.

The previous prime is 54640320862033. The next prime is 54640320862067. The reversal of 54640320862064 is 46026802304645.

It is a happy number.

It is a super-2 number, since 2×546403208620642 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54640320862067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8472764 + ... + 13456164.

It is an arithmetic number, because the mean of its divisors is an integer number (1522608713472).

Almost surely, 254640320862064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54640320862064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60904348538880).

54640320862064 is an abundant number, since it is smaller than the sum of its proper divisors (67168376215696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54640320862064 is a wasteful number, since it uses less digits than its factorization.

54640320862064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984078 (or 4984072 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 50.

The spelling of 54640320862064 in words is "fifty-four trillion, six hundred forty billion, three hundred twenty million, eight hundred sixty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 223 439 446 878 892 1561 1756 1784 3073 3122 3512 3568 6146 6244 7024 12292 12488 24584 24976 49168 97897 195794 391588 685279 783176 1370558 1566352 2741116 4983401 5482232 9966802 10964464 19933604 34883807 39867208 69767614 79734416 139535228 279070456 558140912 1111298423 2187713039 2222596846 4375426078 4445193692 7779088961 8750852156 8890387384 15313991273 15558177922 17501704312 17780774768 30627982546 31116355844 35003408624 61255965092 62232711688 122511930184 124465423376 245023860368 487860007697 975720015394 1951440030788 3415020053879 3902880061576 6830040107758 7805760123152 13660080215516 27320160431032 54640320862064