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505550005050 = 235237113806107
BaseRepresentation
bin1110101101101010010…
…00001110001100111010
31210022220122112011220010
413112311020032030322
531240331300130200
61024125123042350
751345000066156
oct7266510161472
91708818464803
10505550005050
11185447886432
1281b8b8103b6
1338899c1c22c
141a67c376066
15d23cece150
hex75b520e33a

505550005050 has 96 divisors (see below), whose sum is σ = 1299046266432. Its totient is φ = 130008775680.

The previous prime is 505550005039. The next prime is 505550005159. The reversal of 505550005050 is 50500055505.

505550005050 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 505550004999 and 505550005017.

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, 224097 + ... + 1030203.

It is an arithmetic number, because the mean of its divisors is an integer number (13531731942).

Almost surely, 2505550005050 is an apocalyptic number.

505550005050 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 505550005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649523133216).

505550005050 is an abundant number, since it is smaller than the sum of its proper divisors (793496261382).

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

505550005050 is a wasteful number, since it uses less digits than its factorization.

505550005050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806272 (or 806267 counting only the distinct ones).

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

The spelling of 505550005050 in words is "five hundred five billion, five hundred fifty million, five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 113 150 185 222 226 339 370 555 565 678 925 1110 1130 1695 1850 2775 2825 3390 4181 5550 5650 8362 8475 12543 16950 20905 25086 41810 62715 104525 125430 209050 313575 627150 806107 1612214 2418321 4030535 4836642 8061070 12091605 20152675 24183210 29825959 40305350 59651918 60458025 89477877 91090091 120916050 149129795 178955754 182180182 273270273 298259590 447389385 455450455 546540546 745648975 894778770 910900910 1366351365 1491297950 2236946925 2277252275 2732702730 3370333367 4473893850 4554504550 6740666734 6831756825 10111000101 13663513650 16851666835 20222000202 33703333670 50555000505 84258334175 101110001010 168516668350 252775002525 505550005050