Search a number
-
+
505023334125 = 3539743132213
BaseRepresentation
bin1110101100101011011…
…11001000011011101101
31210021112221111112012120
413112111233020123231
531233241433143000
61024000550423153
751325643340342
oct7262557103355
91707487445176
10505023334125
111851a7562802
1281a63361ab9
1338814a8952b
141a62c43a7c9
15d20bb486a0
hex7595bc86ed

505023334125 has 64 divisors (see below), whose sum is σ = 851018628096. Its totient is φ = 265942272000.

The previous prime is 505023334103. The next prime is 505023334147. The reversal of 505023334125 is 521433320505.

It is an interprime number because it is at equal distance from previous prime (505023334103) and next prime (505023334147).

It is not a de Polignac number, because 505023334125 - 28 = 505023333869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15661519 + ... + 15693731.

It is an arithmetic number, because the mean of its divisors is an integer number (13297166064).

Almost surely, 2505023334125 is an apocalyptic number.

It is an amenable number.

505023334125 is a deficient number, since it is larger than the sum of its proper divisors (345995293971).

505023334125 is a wasteful number, since it uses less digits than its factorization.

505023334125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32759 (or 32749 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 505023334125 in words is "five hundred five billion, twenty-three million, three hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 97 125 291 375 431 485 1293 1455 2155 2425 6465 7275 10775 12125 32213 32325 36375 41807 53875 96639 125421 161065 161625 209035 483195 627105 805325 1045175 2415975 3124661 3135525 4026625 5225875 9373983 12079875 13883803 15623305 15677625 41651409 46869915 69419015 78116525 208257045 234349575 347095075 390582625 1041285225 1171747875 1346728891 1735475375 4040186673 5206426125 6733644455 20200933365 33668222275 101004666825 168341111375 505023334125