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8212510512 = 243373260417
BaseRepresentation
bin1111010011000000…
…01111011100110000
3210012100021202112000
413221200033130300
5113304400314022
63434530334000
7410341121223
oct75140173460
923170252460
108212510512
113534825778
12171242a300
13a0b58a89b
1457c9c55ba
15330ec66ac
hex1e980f730

8212510512 has 80 divisors (see below), whose sum is σ = 23895955680. Its totient is φ = 2699993088.

The previous prime is 8212510489. The next prime is 8212510517. The reversal of 8212510512 is 2150152128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8212510517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98673 + ... + 161744.

It is an arithmetic number, because the mean of its divisors is an integer number (298699446).

Almost surely, 28212510512 is an apocalyptic number.

It is an amenable number.

8212510512 is an abundant number, since it is smaller than the sum of its proper divisors (15683445168).

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

8212510512 is a wasteful number, since it uses less digits than its factorization.

8212510512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260507 (or 260495 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 8212510512 is about 90622.9028005614. The cubic root of 8212510512 is about 2017.5546752087.

The spelling of 8212510512 in words is "eight billion, two hundred twelve million, five hundred ten thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 260417 520834 781251 1041668 1562502 2083336 2343753 3125004 4166672 4687506 6250008 7031259 9375012 12500016 14062518 18750024 19010441 28125036 37500048 38020882 56250072 57031323 76041764 112500144 114062646 152083528 171093969 228125292 304167056 342187938 456250584 513281907 684375876 912501168 1026563814 1368751752 2053127628 2737503504 4106255256 8212510512