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54130505200 = 2452968913967
BaseRepresentation
bin110010011010011011…
…011111010111110000
312011201110002120112221
4302122123133113300
51341324402131300
640511152330424
73624255462652
oct623233372760
9164643076487
1054130505200
1120a58293812
12a5a8243a14
135148725b45
1428971366d2
15161c2e831a
hexc9a6df5f0

54130505200 has 60 divisors (see below), whose sum is σ = 130071273120. Its totient is φ = 21648417280.

The previous prime is 54130505189. The next prime is 54130505201. The reversal of 54130505200 is 250503145.

It is a super-2 number, since 2×541305052002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54130505201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3868617 + ... + 3882583.

It is an arithmetic number, because the mean of its divisors is an integer number (2167854552).

Almost surely, 254130505200 is an apocalyptic number.

54130505200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54130505200 is an abundant number, since it is smaller than the sum of its proper divisors (75940767920).

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

54130505200 is a wasteful number, since it uses less digits than its factorization.

54130505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23674 (or 23663 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 54130505200 in words is "fifty-four billion, one hundred thirty million, five hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 9689 13967 19378 27934 38756 48445 55868 69835 77512 96890 111736 139670 155024 193780 223472 242225 279340 349175 387560 484450 558680 698350 775120 968900 1117360 1396700 1937800 2793400 3875600 5586800 135326263 270652526 541305052 676631315 1082610104 1353262630 2165220208 2706525260 3383156575 5413050520 6766313150 10826101040 13532626300 27065252600 54130505200