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504130686864 = 243710338937447
BaseRepresentation
bin1110101011000001000…
…01111100111110010000
31210012020201211100100220
413111200201330332100
531224424423434424
61023332222113040
751264554064240
oct7254041747620
91705221740326
10504130686864
111848896a26a2
128185441b780
1338701b6879c
141a585a75b20
15d1a85c0579
hex756087cf90

504130686864 has 160 divisors (see below), whose sum is σ = 1506739752960. Its totient is φ = 142268438016.

The previous prime is 504130686859. The next prime is 504130686887. The reversal of 504130686864 is 468686031405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13443789 + ... + 13481235.

It is an arithmetic number, because the mean of its divisors is an integer number (9417123456).

Almost surely, 2504130686864 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 504130686864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753369876480).

504130686864 is an abundant number, since it is smaller than the sum of its proper divisors (1002609066096).

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

504130686864 is a wasteful number, since it uses less digits than its factorization.

504130686864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37957 (or 37951 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 504130686864 in words is "five hundred four billion, one hundred thirty million, six hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 389 412 618 721 778 824 1167 1236 1442 1556 1648 2163 2334 2472 2723 2884 3112 4326 4668 4944 5446 5768 6224 8169 8652 9336 10892 11536 16338 17304 18672 21784 32676 34608 37447 40067 43568 65352 74894 80134 112341 120201 130704 149788 160268 224682 240402 262129 280469 299576 320536 449364 480804 524258 560938 599152 641072 786387 841407 898728 961608 1048516 1121876 1572774 1682814 1797456 1923216 2097032 2243752 3145548 3365628 3857041 4194064 4487504 6291096 6731256 7714082 11571123 12582192 13462512 14566883 15428164 23142246 26999287 29133766 30856328 43700649 46284492 53998574 58267532 61712656 80997861 87401298 92568984 101968181 107997148 116535064 161995722 174802596 185137968 203936362 215994296 233070128 305904543 323991444 349605192 407872724 431988592 611809086 647982888 699210384 815745448 1223618172 1295965776 1500388949 1631490896 2447236344 3000777898 4501166847 4894472688 6001555796 9002333694 10502722643 12003111592 18004667388 21005445286 24006223184 31508167929 36009334776 42010890572 63016335858 72018669552 84021781144 126032671716 168043562288 252065343432 504130686864