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54452044033452 = 2232131034572471809
BaseRepresentation
bin11000110000110000110101…
…01111011110110110101100
321010210120020120110011110100
430120120122233132312230
524114120241233032302
6311450531303511100
714320013261340222
oct1430303257366654
9233716216404410
1054452044033452
1116393a8932774a
126135207458490
13244ca622204c0
14d636c8ab8b12
15646651567d1c
hex31861abdedac

54452044033452 has 144 divisors (see below), whose sum is σ = 149997261494080. Its totient is φ = 16555497652224.

The previous prime is 54452044033421. The next prime is 54452044033459. The reversal of 54452044033452 is 25433044025445.

54452044033452 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 204 + 403 + 34 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54452044033398 and 54452044033407.

It is not an unprimeable number, because it can be changed into a prime (54452044033459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20793324 + ... + 23265132.

Almost surely, 254452044033452 is an apocalyptic number.

54452044033452 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54452044033452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74998630747040).

54452044033452 is an abundant number, since it is smaller than the sum of its proper divisors (95545217460628).

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

54452044033452 is a wasteful number, since it uses less digits than its factorization.

54452044033452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472392 (or 2472387 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 54452044033452 its reverse (25433044025445), we get a palindrome (79885088058897).

The spelling of 54452044033452 in words is "fifty-four trillion, four hundred fifty-two billion, forty-four million, thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 457 468 618 914 927 1236 1339 1371 1828 1854 2678 2742 3708 4017 4113 5356 5484 5941 8034 8226 11882 12051 16068 16452 17823 23764 24102 35646 47071 48204 53469 71292 94142 106938 141213 188284 213876 282426 423639 564852 611923 847278 1223846 1694556 1835769 2447692 2471809 3671538 4943618 5507307 7343076 7415427 9887236 11014614 14830854 22029228 22246281 29661708 32133517 44492562 64267034 88985124 96400551 128534068 192801102 254596327 289201653 385602204 509192654 578403306 763788981 1018385308 1129616713 1156806612 1527577962 2259233426 2291366943 3055155924 3309752251 3388850139 4518466852 4582733886 6619504502 6777700278 9165467772 9929256753 10166550417 13239009004 13555400556 14685017269 19858513506 20333100834 29370034538 29787770259 39717027012 40666201668 44055051807 58740069076 59575540518 88110103614 116350521439 119151081036 132165155421 176220207228 232701042878 264330310842 349051564317 465402085756 528660621684 698103128634 1047154692951 1396206257268 1512556778707 2094309385902 3025113557414 4188618771804 4537670336121 6050227114828 9075340672242 13613011008363 18150681344484 27226022016726 54452044033452