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54504000450 = 232522352310069
BaseRepresentation
bin110010110000101100…
…010000101111000010
312012200110220002201100
4302300230100233002
51343111011003300
641012213515230
73636442234254
oct626054205702
9165613802640
1054504000450
112112a0a6279
12a691342b16
1351a7c17353
1428d099bcd4
15163eec3700
hexcb0b10bc2

54504000450 has 144 divisors (see below), whose sum is σ = 153108146880. Its totient is φ = 13874509440.

The previous prime is 54504000433. The next prime is 54504000491. The reversal of 54504000450 is 5400040545.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5408016 + ... + 5418084.

It is an arithmetic number, because the mean of its divisors is an integer number (1063251020).

Almost surely, 254504000450 is an apocalyptic number.

54504000450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54504000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76554073440).

54504000450 is an abundant number, since it is smaller than the sum of its proper divisors (98604146430).

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

54504000450 is a wasteful number, since it uses less digits than its factorization.

54504000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 54504000450 its reverse (5400040545), we get a palindrome (59904040995).

The spelling of 54504000450 in words is "fifty-four billion, five hundred four million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 523 575 690 1035 1046 1150 1569 1725 2070 2615 3138 3450 4707 5175 5230 7845 9414 10069 10350 12029 13075 15690 20138 23535 24058 26150 30207 36087 39225 47070 50345 60145 60414 72174 78450 90621 100690 108261 117675 120290 151035 180435 181242 216522 231587 235350 251725 300725 302070 360870 453105 463174 503450 541305 601450 694761 755175 902175 906210 1082610 1157935 1389522 1510350 1804350 2084283 2265525 2315870 2706525 3473805 4168566 4531050 5266087 5413050 5789675 6947610 10421415 10532174 11579350 15798261 17369025 20842830 26330435 31596522 34738050 47394783 52107075 52660870 78991305 94789566 104214150 121120001 131652175 157982610 236973915 242240002 263304350 363360003 394956525 473947830 605600005 726720006 789913050 1090080009 1184869575 1211200010 1816800015 2180160018 2369739150 3028000025 3633600030 5450400045 6056000050 9084000075 10900800090 18168000150 27252000225 54504000450