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54075145500 = 22325322752937
BaseRepresentation
bin110010010111001000…
…010011110100011100
312011120120221000022200
4302113020103310130
51341221214124000
640501454011500
73623014103265
oct622710236434
9164516830280
1054075145500
1120a2a0121a2
12a5917a6b90
13513a11201c
14288da4596c
151617510500
hexc97213d1c

54075145500 has 144 divisors (see below), whose sum is σ = 171343789344. Its totient is φ = 14356243200.

The previous prime is 54075145499. The next prime is 54075145511. The reversal of 54075145500 is 554157045.

54075145500 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 5 + 145 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995032 + ... + 1047968.

It is an arithmetic number, because the mean of its divisors is an integer number (1189887426).

Almost surely, 254075145500 is an apocalyptic number.

54075145500 is a gapful number since it is divisible by the number (50) 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 54075145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85671894672).

54075145500 is an abundant number, since it is smaller than the sum of its proper divisors (117268643844).

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

54075145500 is a wasteful number, since it uses less digits than its factorization.

54075145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53189 (or 53174 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 54075145500 in words is "fifty-four billion, seventy-five million, one hundred forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 227 250 300 375 450 454 500 681 750 900 908 1125 1135 1362 1500 2043 2250 2270 2724 3405 4086 4500 4540 5675 6810 8172 10215 11350 13620 17025 20430 22700 28375 34050 40860 51075 52937 56750 68100 85125 102150 105874 113500 158811 170250 204300 211748 255375 264685 317622 340500 476433 510750 529370 635244 794055 952866 1021500 1058740 1323425 1588110 1905732 2382165 2646850 3176220 3970275 4764330 5293700 6617125 7940550 9528660 11910825 12016699 13234250 15881100 19851375 23821650 24033398 26468500 36050097 39702750 47643300 48066796 59554125 60083495 72100194 79405500 108150291 119108250 120166990 144200388 180250485 216300582 238216500 240333980 300417475 360500970 432601164 540751455 600834950 721001940 901252425 1081502910 1201669900 1502087375 1802504850 2163005820 2703757275 3004174750 3605009700 4506262125 5407514550 6008349500 9012524250 10815029100 13518786375 18025048500 27037572750 54075145500