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505055505056 = 2553653456037
BaseRepresentation
bin1110101100101111010…
…01110110101010100000
31210021122012000222102112
413112113221312222200
531233323202130211
61024004100134452
751326513650214
oct7262751665240
91707565028375
10505055505056
11185213736253
1281a72097428
133881b64169b
141a632812944
15d20e8a088b
hex7597a76aa0

505055505056 has 48 divisors (see below), whose sum is σ = 1014642594504. Its totient is φ = 247383112704.

The previous prime is 505055505047. The next prime is 505055505079. The reversal of 505055505056 is 650505550505.

It can be written as a sum of positive squares in 4 ways, for example, as 242792707600 + 262262797456 = 492740^2 + 512116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879470 + ... + 1335506.

Almost surely, 2505055505056 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 505055505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507321297252).

505055505056 is an abundant number, since it is smaller than the sum of its proper divisors (509587089448).

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

505055505056 is a wasteful number, since it uses less digits than its factorization.

505055505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456753 (or 456745 counting only the distinct ones).

The product of its (nonzero) digits is 468750, while the sum is 41.

The spelling of 505055505056 in words is "five hundred five billion, fifty-five million, five hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 653 848 1306 1696 2612 5224 10448 20896 34609 69218 138436 276872 456037 553744 912074 1107488 1824148 3648296 7296592 14593184 24169961 48339922 96679844 193359688 297792161 386719376 595584322 773438752 1191168644 2382337288 4764674576 9529349152 15782984533 31565969066 63131938132 126263876264 252527752528 505055505056