Search a number
-
+
514016446552 = 237409143315661
BaseRepresentation
bin1110111101011011100…
…01001000100001011000
31211010202200121222020121
413132231301020201120
531410201202242202
61032045204203024
752064543464120
oct7365561104130
91733680558217
10514016446552
11188aa197a224
1283753099474
1339618c9782b
141ac4297bc80
15d586414537
hex77adc48858

514016446552 has 64 divisors (see below), whose sum is σ = 1104997953600. Its totient is φ = 219586775040.

The previous prime is 514016446549. The next prime is 514016446583. The reversal of 514016446552 is 255644610415.

It is a junction number, because it is equal to n+sod(n) for n = 514016446499 and 514016446508.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32813602 + ... + 32829262.

It is an arithmetic number, because the mean of its divisors is an integer number (17265593025).

Almost surely, 2514016446552 is an apocalyptic number.

It is an amenable number.

514016446552 is an abundant number, since it is smaller than the sum of its proper divisors (590981507048).

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

514016446552 is a wasteful number, since it uses less digits than its factorization.

514016446552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17516 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 514016446552 in words is "five hundred fourteen billion, sixteen million, four hundred forty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 409 818 1433 1636 2863 2866 3272 5726 5732 10031 11452 11464 15661 20062 22904 31322 40124 62644 80248 109627 125288 219254 438508 586097 877016 1172194 2344388 4102679 4688776 6405349 8205358 12810698 16410716 22442213 25621396 32821432 44837443 44884426 51242792 89674886 89768852 157095491 179349772 179537704 314190982 358699544 628381964 1256763928 9178865117 18357730234 36715460468 64252055819 73430920936 128504111638 257008223276 514016446552