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54464425134 = 23743101298589
BaseRepresentation
bin110010101110010101…
…010010110010101110
312012120201102110120220
4302232111102302232
51343020343101014
641004241352210
73635451655320
oct625625226256
9165521373526
1054464425134
11211098257a9
12a680038666
13519c96bbc2
1428c9619610
15163b7a76a9
hexcae552cae

54464425134 has 64 divisors (see below), whose sum is σ = 128646904320. Its totient is φ = 15048835200.

The previous prime is 54464425123. The next prime is 54464425163. The reversal of 54464425134 is 43152446445.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33112 + ... + 331700.

It is an arithmetic number, because the mean of its divisors is an integer number (2010107880).

Almost surely, 254464425134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54464425134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64323452160).

54464425134 is an abundant number, since it is smaller than the sum of its proper divisors (74182479186).

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

54464425134 is a wasteful number, since it uses less digits than its factorization.

54464425134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298745.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 544644 and 25134, that added together give a triangular number (569778 = T1067).

The spelling of 54464425134 in words is "fifty-four billion, four hundred sixty-four million, four hundred twenty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 101 129 202 258 301 303 602 606 707 903 1414 1806 2121 4242 4343 8686 13029 26058 30401 60802 91203 182406 298589 597178 895767 1791534 2090123 4180246 6270369 12540738 12839327 25678654 30157489 38517981 60314978 77035962 89875289 90472467 179750578 180944934 211102423 269625867 422204846 539251734 633307269 1266614538 1296772027 2593544054 3890316081 7780632162 9077404189 18154808378 27232212567 54464425134