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8112322688 = 271924192
BaseRepresentation
bin1111000111000100…
…00011100010000000
3202221100202200122212
413203202003202000
5113103223311223
63420551121252
7405013414361
oct74342034200
922840680585
108112322688
113493216118
1216a4973228
139c38ac752
1456d585b68
153272d6278
hex1e3883880

8112322688 has 72 divisors (see below), whose sum is σ = 17097434055. Its totient is φ = 3833508096.

The previous prime is 8112322657. The next prime is 8112322693. The reversal of 8112322688 is 8862232118.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4056161344 + 4056161344 = 63688^2 + 63688^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=63688.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19360943 + ... + 19361361.

Almost surely, 28112322688 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 8112322688

8112322688 is an abundant number, since it is smaller than the sum of its proper divisors (8985111367).

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

8112322688 is an frugal number, since it uses more digits than its factorization.

8112322688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 440 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 8112322688 is about 90068.4333604177. The cubic root of 8112322688 is about 2009.3167556395.

Multiplying 8112322688 by its product of digits (73728), we get a square (598105327140864 = 244561922).

The spelling of 8112322688 in words is "eight billion, one hundred twelve million, three hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 419 608 722 838 1216 1444 1676 2432 2888 3352 5776 6704 7961 11552 13408 15922 23104 26816 31844 46208 53632 63688 127376 151259 175561 254752 302518 351122 509504 605036 702244 1019008 1210072 1404488 2420144 2808976 3335659 4840288 5617952 6671318 9680576 11235904 13342636 19361152 22471808 26685272 53370544 63377521 106741088 126755042 213482176 253510084 426964352 507020168 1014040336 2028080672 4056161344 8112322688