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505363040416 = 251322949910631
BaseRepresentation
bin1110101101010011111…
…11000000100010100000
31210022102121201101122001
413112221333000202200
531234440414243131
61024054403453344
751340236652603
oct7265177004240
91708377641561
10505363040416
11185361297103
1281b39087254
133886a27a280
141a6615c833a
15d22b89c261
hex75a9fc08a0

505363040416 has 96 divisors (see below), whose sum is σ = 1078403760000. Its totient is φ = 231738762240.

The previous prime is 505363040389. The next prime is 505363040417. The reversal of 505363040416 is 614040363505.

It is not an unprimeable number, because it can be changed into a prime (505363040417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47531421 + ... + 47542051.

It is an arithmetic number, because the mean of its divisors is an integer number (11233372500).

Almost surely, 2505363040416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505363040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539201880000).

505363040416 is an abundant number, since it is smaller than the sum of its proper divisors (573040719584).

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

505363040416 is a wasteful number, since it uses less digits than its factorization.

505363040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 505363040416 in words is "five hundred five billion, three hundred sixty-three million, forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 229 416 458 499 916 998 1832 1996 2977 3664 3992 5954 6487 7328 7984 10631 11908 12974 15968 21262 23816 25948 42524 47632 51896 85048 95264 103792 114271 138203 170096 207584 228542 276406 340192 457084 552812 914168 1105624 1485523 1828336 2211248 2434499 2971046 3656672 4422496 4868998 5304869 5942092 9737996 10609738 11884184 19475992 21219476 23768368 31648487 38951984 42438952 47536736 63296974 68963297 77903968 84877904 126593948 137926594 169755808 253187896 275853188 506375792 551706376 1012751584 1103412752 1214815001 2206825504 2429630002 4859260004 9718520008 15792595013 19437040016 31585190026 38874080032 63170380052 126340760104 252681520208 505363040416