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505152676050 = 2352111916113323
BaseRepresentation
bin1110101100111010111…
…00100010000011010010
31210021212221212202222020
413112131130202003102
531234023041113200
61024021450552310
751332103620451
oct7263534420322
91707787782866
10505152676050
11185263575260
1281a9a738696
1338835804609
141a6416a8b98
15d218196ea0
hex759d7220d2

505152676050 has 96 divisors (see below), whose sum is σ = 1438597566720. Its totient is φ = 116015918400.

The previous prime is 505152676037. The next prime is 505152676087. The reversal of 505152676050 is 50676251505.

It is a happy number.

It is a super-2 number, since 2×5051526760502 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 505152675993 and 505152676011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8025312 + ... + 8088011.

It is an arithmetic number, because the mean of its divisors is an integer number (14985391320).

Almost surely, 2505152676050 is an apocalyptic number.

505152676050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

505152676050 is an abundant number, since it is smaller than the sum of its proper divisors (933444890670).

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

505152676050 is a wasteful number, since it uses less digits than its factorization.

505152676050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16113368 (or 16113363 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The spelling of 505152676050 in words is "five hundred five billion, one hundred fifty-two million, six hundred seventy-six thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 150 165 190 209 275 285 330 418 475 550 570 627 825 950 1045 1254 1425 1650 2090 2850 3135 5225 6270 10450 15675 31350 16113323 32226646 48339969 80566615 96679938 161133230 177246553 241699845 306153137 354493106 402833075 483399690 531739659 612306274 805666150 886232765 918459411 1063479318 1208499225 1530765685 1772465530 1836918822 2416998450 2658698295 3061531370 3367684507 4431163825 4592297055 5317396590 6735369014 7653828425 8862327650 9184594110 10103053521 13293491475 15307656850 16838422535 20206107042 22961485275 26586982950 33676845070 45922970550 50515267605 84192112675 101030535210 168384225350 252576338025 505152676050