Search a number
-
+
500542766550 = 232521765430427
BaseRepresentation
bin1110100100010101010…
…11000111110111010110
31202211222200112002222100
413102022223013313112
531200102422012200
61021540212342530
751106626213201
oct7221253076726
91684880462870
10500542766550
11183308384aa2
1281012914a46
133827c727a08
141a32534c938
15d0485e7d00
hex748aac7dd6

500542766550 has 72 divisors (see below), whose sum is σ = 1423896974136. Its totient is φ = 125626417920.

The previous prime is 500542766543. The next prime is 500542766599. The reversal of 500542766550 is 55667245005.

500542766550 is a `hidden beast` number, since 50 + 0 + 5 + 42 + 7 + 6 + 6 + 550 = 666.

It is a super-2 number, since 2×5005427665502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 500542766496 and 500542766505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32707564 + ... + 32722863.

It is an arithmetic number, because the mean of its divisors is an integer number (19776346863).

Almost surely, 2500542766550 is an apocalyptic number.

500542766550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

500542766550 is an abundant number, since it is smaller than the sum of its proper divisors (923354207586).

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

500542766550 is a wasteful number, since it uses less digits than its factorization.

500542766550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65430462 (or 65430454 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 500542766550 in words is "five hundred billion, five hundred forty-two million, seven hundred sixty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 65430427 130860854 196291281 327152135 392582562 588873843 654304270 981456405 1112317259 1177747686 1635760675 1962912810 2224634518 2944369215 3271521350 3336951777 4907282025 5561586295 5888738430 6673903554 9814564050 10010855331 11123172590 14721846075 16684758885 20021710662 27807931475 29443692150 33369517770 50054276655 55615862950 83423794425 100108553310 166847588850 250271383275 500542766550