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8412885516 = 2237615992741
BaseRepresentation
bin1111101010111001…
…00111001000001100
3210201022022212100110
413311130213020030
5114212144314031
63510445200020
7415323230010
oct76534471014
923638285313
108412885516
113627944452
121769560010
13a40c46789
1459b464540
153438a6c46
hex1f572720c

8412885516 has 96 divisors (see below), whose sum is σ = 22848537600. Its totient is φ = 2359468800.

The previous prime is 8412885499. The next prime is 8412885541. The reversal of 8412885516 is 6155882148.

It is an unprimeable number.

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, 3067906 + ... + 3070646.

It is an arithmetic number, because the mean of its divisors is an integer number (238005600).

Almost surely, 28412885516 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 8412885516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424268800).

8412885516 is an abundant number, since it is smaller than the sum of its proper divisors (14435652084).

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

8412885516 is a wasteful number, since it uses less digits than its factorization.

8412885516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3413 counting only the distinct ones).

The product of its digits is 614400, while the sum is 48.

The square root of 8412885516 is about 91721.7832142398. The cubic root of 8412885516 is about 2033.8316104898.

The spelling of 8412885516 in words is "eight billion, four hundred twelve million, eight hundred eighty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 599 732 854 1198 1281 1708 1797 2396 2562 2741 3594 4193 5124 5482 7188 8223 8386 10964 12579 16446 16772 19187 25158 32892 36539 38374 50316 57561 73078 76748 109617 115122 146156 167201 219234 230244 255773 334402 438468 501603 511546 668804 767319 1003206 1023092 1170407 1534638 1641859 2006412 2340814 3069276 3283718 3511221 4681628 4925577 6567436 7022442 9851154 11493013 14044884 19702308 22986026 34479039 45972052 68958078 100153399 137916156 200306798 300460197 400613596 600920394 701073793 1201840788 1402147586 2103221379 2804295172 4206442758 8412885516