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500555005050 = 235237642714033
BaseRepresentation
bin1110100100010110110…
…01110011110001111010
31202212000112112220001010
413102023121303301322
531200114040130200
61021541330534350
751110135225022
oct7221331636172
91685015486033
10500555005050
11183314283a61
1281016a373b6
1338282121429
141a326c16a82
15d049714150
hex748b673c7a

500555005050 has 96 divisors (see below), whose sum is σ = 1275216363072. Its totient is φ = 129844270080.

The previous prime is 500555004931. The next prime is 500555005117. The reversal of 500555005050 is 50500555005.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 500555004999 and 500555005017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35662834 + ... + 35676866.

It is an arithmetic number, because the mean of its divisors is an integer number (13283503782).

Almost surely, 2500555005050 is an apocalyptic number.

500555005050 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 500555005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637608181536).

500555005050 is an abundant number, since it is smaller than the sum of its proper divisors (774661358022).

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

500555005050 is a wasteful number, since it uses less digits than its factorization.

500555005050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20512 (or 20507 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 30.

The spelling of 500555005050 in words is "five hundred billion, five hundred fifty-five million, five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 6427 12854 14033 19281 28066 32135 38562 42099 64270 70165 84198 96405 140330 160675 192810 210495 237799 321350 350825 420990 475598 482025 519221 701650 713397 964050 1038442 1052475 1188995 1426794 1557663 2104950 2377990 2596105 3115326 3566985 5192210 5944975 7133970 7788315 11889950 12980525 15576630 17834925 25961050 35669850 38941575 77883150 90190091 180380182 270570273 450950455 541140546 901900910 1352851365 2254752275 2705702730 3337033367 4509504550 6674066734 6764256825 10011100101 13528513650 16685166835 20022200202 33370333670 50055500505 83425834175 100111001010 166851668350 250277502525 500555005050