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505055501004 = 223113181211369
BaseRepresentation
bin1110101100101111010…
…01110101101011001100
31210021122012000202212110
413112113221311223030
531233323202013004
61024004100104020
751326513632335
oct7262751655314
91707565022773
10505055501004
111852137331aa
1281a72095010
133881b63c8a2
141a63281128c
15d20e89e589
hex7597a75acc

505055501004 has 72 divisors (see below), whose sum is σ = 1195601616720. Its totient is φ = 165925509120.

The previous prime is 505055501003. The next prime is 505055501029. The reversal of 505055501004 is 400105550505.

It is not an unprimeable number, because it can be changed into a prime (505055501003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44418232 + ... + 44429600.

It is an arithmetic number, because the mean of its divisors is an integer number (16605578010).

Almost surely, 2505055501004 is an apocalyptic number.

It is an amenable number.

505055501004 is an abundant number, since it is smaller than the sum of its proper divisors (690546115716).

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

505055501004 is a wasteful number, since it uses less digits than its factorization.

505055501004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11668 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 30.

The spelling of 505055501004 in words is "five hundred five billion, fifty-five million, five hundred one thousand, four".

Divisors: 1 2 3 4 6 12 113 181 226 339 362 452 543 678 724 1086 1356 2172 11369 20453 22738 32761 34107 40906 45476 61359 65522 68214 81812 98283 122718 131044 136428 196566 245436 393132 1284697 2057789 2569394 3701993 3854091 4115578 5138788 6173367 7403986 7708182 8231156 11105979 12346734 14807972 15416364 22211958 24693468 44423916 232530157 372459809 465060314 697590471 744919618 930120628 1117379427 1395180942 1489839236 2234758854 2790361884 4469517708 42087958417 84175916834 126263875251 168351833668 252527750502 505055501004