Search a number
-
+
519921511472 = 241159413912097
BaseRepresentation
bin1111001000011011011…
…11001010110000110000
31211201000020001100110202
413210031233022300300
532004244401331342
61034503150214332
752364065633616
oct7441557126060
91751006040422
10519921511472
11190552158970
12849207b43a8
133a04a4a429c
141b242d176b6
15d7cea48332
hex790dbcac30

519921511472 has 80 divisors (see below), whose sum is σ = 1117913270400. Its totient is φ = 232247070720.

The previous prime is 519921511469. The next prime is 519921511481. The reversal of 519921511472 is 274115129915.

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, 42973328 + ... + 42985424.

It is an arithmetic number, because the mean of its divisors is an integer number (13973915880).

Almost surely, 2519921511472 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 519921511472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558956635200).

519921511472 is an abundant number, since it is smaller than the sum of its proper divisors (597991758928).

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

519921511472 is a wasteful number, since it uses less digits than its factorization.

519921511472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16314 (or 16308 counting only the distinct ones).

The product of its digits is 226800, while the sum is 47.

The spelling of 519921511472 in words is "five hundred nineteen billion, nine hundred twenty-one million, five hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 944 1298 2596 4139 5192 8278 10384 12097 16556 24194 33112 45529 48388 66224 91058 96776 133067 182116 193552 244201 266134 364232 488402 532268 713723 728464 976804 1064536 1427446 1953608 2129072 2686211 2854892 3907216 5372422 5709784 7850953 10744844 11419568 15701906 21489688 31403812 42979376 50069483 62807624 100138966 125615248 200277932 400555864 550764313 801111728 1101528626 2203057252 2954099497 4406114504 5908198994 8812229008 11816397988 23632795976 32495094467 47265591952 64990188934 129980377868 259960755736 519921511472