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505505000550 = 2352111931158657
BaseRepresentation
bin1110101101100100111…
…00100010110001100110
31210022210111211201022210
413112302130202301212
531240233240004200
61024120434304250
751343612415544
oct7266234426146
91708714751283
10505505000550
11185424437930
1281b78728086
13388907c2854
141a6763bcd94
15d23908e650
hex75b2722c66

505505000550 has 96 divisors (see below), whose sum is σ = 1368337670784. Its totient is φ = 122482432000.

The previous prime is 505505000543. The next prime is 505505000557. The reversal of 505505000550 is 55000505505.

It is an interprime number because it is at equal distance from previous prime (505505000543) and next prime (505505000557).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505505000557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106822 + ... + 3265478.

It is an arithmetic number, because the mean of its divisors is an integer number (14253517404).

Almost surely, 2505505000550 is an apocalyptic number.

505505000550 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 505505000550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684168835392).

505505000550 is an abundant number, since it is smaller than the sum of its proper divisors (862832670234).

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

505505000550 is a wasteful number, since it uses less digits than its factorization.

505505000550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160614 (or 160609 counting only the distinct ones).

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

The spelling of 505505000550 in words is "five hundred five billion, five hundred five million, five hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 1931 3862 5793 9655 11586 19310 21241 28965 42482 48275 57930 63723 96550 106205 127446 144825 158657 212410 289650 317314 318615 475971 531025 637230 793285 951942 1062050 1586570 1593075 1745227 2379855 3186150 3490454 3966425 4759710 5235681 7932850 8726135 10471362 11899275 17452270 23798550 26178405 43630675 52356810 87261350 130892025 261784050 306366667 612733334 919100001 1531833335 1838200002 3063666670 3370033337 4595500005 6740066674 7659166675 9191000010 10110100011 15318333350 16850166685 20220200022 22977500025 33700333370 45955000050 50550500055 84250833425 101101000110 168501666850 252752500275 505505000550