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54131235000 = 2335415123899
BaseRepresentation
bin110010011010011110…
…010001100010111000
312011201111110122122120
4302122132101202320
51341330044010000
640511220121240
73624264622443
oct623236214270
9164644418576
1054131235000
1120a58742057
12a5a8536220
13514892008b
14289728665a
15161c3de6a0
hexc9a7918b8

54131235000 has 160 divisors (see below), whose sum is σ = 170233008000. Its totient is φ = 14338800000.

The previous prime is 54131234959. The next prime is 54131235029. The reversal of 54131235000 is 53213145.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 2253051 + ... + 2276949.

It is an arithmetic number, because the mean of its divisors is an integer number (1063956300).

Almost surely, 254131235000 is an apocalyptic number.

54131235000 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 54131235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85116504000).

54131235000 is an abundant number, since it is smaller than the sum of its proper divisors (116101773000).

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

54131235000 is a wasteful number, since it uses less digits than its factorization.

54131235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24079 (or 24060 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 54131235000 its reverse (53213145), we get a palindrome (54184448145).

The spelling of 54131235000 in words is "fifty-four billion, one hundred thirty-one million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 625 750 755 906 1000 1208 1250 1500 1510 1812 1875 2265 2500 3000 3020 3624 3750 3775 4530 5000 6040 7500 7550 9060 11325 15000 15100 18120 18875 22650 23899 30200 37750 45300 47798 56625 71697 75500 90600 94375 95596 113250 119495 143394 151000 188750 191192 226500 238990 283125 286788 358485 377500 453000 477980 566250 573576 597475 716970 755000 955960 1132500 1194950 1433940 1792425 2265000 2389900 2867880 2987375 3584850 3608749 4779800 5974750 7169700 7217498 8962125 10826247 11949500 14339400 14434996 14936875 17924250 18043745 21652494 23899000 28869992 29873750 35848500 36087490 43304988 44810625 54131235 59747500 71697000 72174980 86609976 89621250 90218725 108262470 119495000 144349960 179242500 180437450 216524940 270656175 358485000 360874900 433049880 451093625 541312350 721749800 902187250 1082624700 1353280875 1804374500 2165249400 2255468125 2706561750 3608749000 4510936250 5413123500 6766404375 9021872500 10826247000 13532808750 18043745000 27065617500 54131235000