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54690499600 = 245211210632
BaseRepresentation
bin110010111011110011…
…101100110000010000
312020011110211020110021
4302323303230300100
51344001231441400
641042515113224
73644165401462
oct627363546020
9166143736407
1054690499600
11212153a7900
12a7238a2814
135207755489
14290b668132
15165156271a
hexcbbcecc10

54690499600 has 135 divisors (see below), whose sum is σ = 144560720829. Its totient is φ = 19868745600.

The previous prime is 54690499583. The next prime is 54690499649. The reversal of 54690499600 is 699409645.

The square root of 54690499600 is 233860.

It is a perfect power (a square), and thus also a powerful number.

54690499600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19688579856 + 35001919744 = 140316^2 + 187088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51448669 + ... + 51449731.

Almost surely, 254690499600 is an apocalyptic number.

54690499600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54690499600 is the 233860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54690499600

54690499600 is an abundant number, since it is smaller than the sum of its proper divisors (89870221229).

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

54690499600 is a wasteful number, since it uses less digits than its factorization.

54690499600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 54690499600 in words is "fifty-four billion, six hundred ninety million, four hundred ninety-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1063 1100 1210 1936 2126 2200 2420 3025 4252 4400 4840 5315 6050 8504 9680 10630 11693 12100 17008 21260 23386 24200 26575 42520 46772 48400 53150 58465 85040 93544 106300 116930 128623 187088 212600 233860 257246 292325 425200 467720 514492 584650 643115 935440 1028984 1129969 1169300 1286230 2057968 2259938 2338600 2572460 3215575 4519876 4677200 5144920 5649845 6431150 9039752 10289840 11299690 12429659 12862300 18079504 22599380 24859318 25724600 28249225 45198760 49718636 51449200 56498450 62148295 90397520 99437272 112996900 124296590 136726249 198874544 225993800 248593180 273452498 310741475 451987600 497186360 546904996 621482950 683631245 994372720 1093809992 1242965900 1367262490 2187619984 2485931800 2734524980 3418156225 4971863600 5469049960 6836312450 10938099920 13672624900 27345249800 54690499600