Search a number
-
+
505300502550 = 235215312200307
BaseRepresentation
bin1110101101001100100…
…00011100100000010110
31210022021021001010210210
413112212100130200112
531234323412040200
61024044251230250
751335550255504
oct7264620344026
91708237033723
10505300502550
11185329a62518
1281b20148386
133885a32210c
141a657189674
15d226147650
hex75a641c816

505300502550 has 48 divisors (see below), whose sum is σ = 1253964330432. Its totient is φ = 134658727200.

The previous prime is 505300502533. The next prime is 505300502579. The reversal of 505300502550 is 55205003505.

It is a super-3 number, since 3×5053005025503 (a number of 36 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870504 + ... + 1329803.

It is an arithmetic number, because the mean of its divisors is an integer number (26124256884).

Almost surely, 2505300502550 is an apocalyptic number.

505300502550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

505300502550 is an abundant number, since it is smaller than the sum of its proper divisors (748663827882).

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

505300502550 is a wasteful number, since it uses less digits than its factorization.

505300502550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201853 (or 2201848 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 30.

The spelling of 505300502550 in words is "five hundred five billion, three hundred million, five hundred two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1531 3062 4593 7655 9186 15310 22965 38275 45930 76550 114825 229650 2200307 4400614 6600921 11001535 13201842 22003070 33004605 55007675 66009210 110015350 165023025 330046050 3368670017 6737340034 10106010051 16843350085 20212020102 33686700170 50530050255 84216750425 101060100510 168433500850 252650251275 505300502550