Search a number
-
+
54753453144 = 23331331629003
BaseRepresentation
bin110010111111100011…
…110110010001011000
312020022212021121111000
4302333203312101120
51344113341000034
641053044305000
73645561446505
oct627743662130
9166285247430
1054753453144
1121247995825
12a7409a2160
1352177c78b0
142915b744ac
151656d4a599
hexcbf8f6458

54753453144 has 128 divisors (see below), whose sum is σ = 169076275200. Its totient is φ = 16303731840.

The previous prime is 54753453049. The next prime is 54753453151. The reversal of 54753453144 is 44135435745.

54753453144 is a `hidden beast` number, since 5 + 4 + 7 + 53 + 453 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54753453144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227454 + ... + 401549.

It is an arithmetic number, because the mean of its divisors is an integer number (1320908400).

Almost surely, 254753453144 is an apocalyptic number.

54753453144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54753453144 is an abundant number, since it is smaller than the sum of its proper divisors (114322822056).

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

54753453144 is a wasteful number, since it uses less digits than its factorization.

54753453144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629062 (or 629052 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

Adding to 54753453144 its reverse (44135435745), we get a palindrome (98888888889).

The spelling of 54753453144 in words is "fifty-four billion, seven hundred fifty-three million, four hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 52 54 62 72 78 93 104 108 117 124 156 186 216 234 248 279 312 351 372 403 468 558 702 744 806 837 936 1116 1209 1404 1612 1674 2232 2418 2808 3224 3348 3627 4836 6696 7254 9672 10881 14508 21762 29016 43524 87048 629003 1258006 1887009 2516012 3774018 5032024 5661027 7548036 8177039 11322054 15096072 16354078 16983081 19499093 22644108 24531117 32708156 33966162 38998186 45288216 49062234 58497279 65416312 67932324 73593351 77996372 98124468 116994558 135864648 147186702 155992744 175491837 196248936 220780053 233989116 253488209 294373404 350983674 441560106 467978232 506976418 526475511 588746808 701967348 760464627 883120212 1013952836 1052951022 1403934696 1520929254 1766240424 2027905672 2105902044 2281393881 3041858508 4211804088 4562787762 6083717016 6844181643 9125575524 13688363286 18251151048 27376726572 54753453144