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505212641024 = 2871321686669
BaseRepresentation
bin1110101101000010000…
…01010001111100000000
31210022001010201022110012
413112201001101330000
531234133414003044
61024031432124052
751333432410450
oct7264101217400
91708033638405
10505212641024
11185294401893
1281ab6836628
133884506b650
141a649637d60
15d21d58e59e
hex75a1051f00

505212641024 has 72 divisors (see below), whose sum is σ = 1241171497440. Its totient is φ = 199864332288.

The previous prime is 505212640997. The next prime is 505212641047. The reversal of 505212641024 is 420146212505.

Adding to 505212641024 its reverse (420146212505), we get a palindrome (925358853529).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 10820039 + ... + 10866630.

It is an arithmetic number, because the mean of its divisors is an integer number (17238493020).

Almost surely, 2505212641024 is an apocalyptic number.

It is an amenable number.

505212641024 is an abundant number, since it is smaller than the sum of its proper divisors (735958856416).

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

505212641024 is a wasteful number, since it uses less digits than its factorization.

505212641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21686705 (or 21686691 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 505212641024 in words is "five hundred five billion, two hundred twelve million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 11648 23296 21686669 43373338 86746676 151806683 173493352 281926697 303613366 346986704 563853394 607226732 693973408 1127706788 1214453464 1387946816 1973486879 2255413576 2428906928 2775893632 3946973758 4510827152 4857813856 5551787264 7893947516 9021654304 9715627712 15787895032 18043308608 19431255424 31575790064 36086617216 38862510848 63151580128 72173234432 126303160256 252606320512 505212641024