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501045605016 = 2331164314811993
BaseRepresentation
bin1110100101010001010…
…01010011001010011000
31202220021201200221200020
413102220221103022120
531202120133330031
61022102134110440
751125243241435
oct7225051231230
91686251627606
10501045605016
111835461aaa80
12811331ab420
133832c964a78
141a372042b8c
15d077822096
hex74a8a53298

501045605016 has 128 divisors (see below), whose sum is σ = 1370224477440. Its totient is φ = 151417497600.

The previous prime is 501045605009. The next prime is 501045605017. The reversal of 501045605016 is 610506540105.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501045605017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251401716 + ... + 251403708.

It is an arithmetic number, because the mean of its divisors is an integer number (10704878730).

Almost surely, 2501045605016 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 501045605016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685112238720).

501045605016 is an abundant number, since it is smaller than the sum of its proper divisors (869178872424).

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

501045605016 is a wasteful number, since it uses less digits than its factorization.

501045605016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 501045605016 in words is "five hundred one billion, forty-five million, six hundred five thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 643 1286 1481 1929 1993 2572 2962 3858 3986 4443 5144 5924 5979 7073 7716 7972 8886 11848 11958 14146 15432 15944 16291 17772 21219 21923 23916 28292 32582 35544 42438 43846 47832 48873 56584 65164 65769 84876 87692 97746 130328 131538 169752 175384 195492 263076 390984 526152 952283 1281499 1904566 2562998 2856849 2951633 3809132 3844497 5125996 5713698 5903266 7618264 7688994 8854899 10251992 10475113 11427396 11806532 14096489 15377988 17709798 20950226 22854792 23613064 28192978 30755976 31425339 32467963 35419596 41900452 42289467 56385956 62850678 64935926 70839192 83800904 84578934 97403889 112771912 125701356 129871852 169157868 194807778 251402712 259743704 338315736 389615556 779231112 1897900019 3795800038 5693700057 7591600076 11387400114 15183200152 20876900209 22774800228 41753800418 45549600456 62630700627 83507600836 125261401254 167015201672 250522802508 501045605016