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8106209792 = 292321732
BaseRepresentation
bin1111000110010101…
…01111001000000000
3202220221021010100022
413203022233020000
5113100142203132
63420212113012
7404610434462
oct74312571000
922827233308
108106209792
11348a82043a
1216a2905768
139c254c255
1456c834132
153269c9e12
hex1e32af200

8106209792 has 90 divisors (see below), whose sum is σ = 17029839057. Its totient is φ = 3854473216.

The previous prime is 8106209777. The next prime is 8106209827. The reversal of 8106209792 is 2979026018.

It is a happy number.

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 2 ways, for example, as 6376980736 + 1729229056 = 79856^2 + 41584^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=63664.

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, 46856618 + ... + 46856790.

Almost surely, 28106209792 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 8106209792

8106209792 is an abundant number, since it is smaller than the sum of its proper divisors (8923629265).

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

8106209792 is an frugal number, since it uses more digits than its factorization.

8106209792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 8106209792 is about 90034.4922349207. The cubic root of 8106209792 is about 2008.8119338899.

The spelling of 8106209792 in words is "eight billion, one hundred six million, two hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 173 184 256 346 368 512 529 692 736 1058 1384 1472 2116 2768 2944 3979 4232 5536 5888 7958 8464 11072 11776 15916 16928 22144 29929 31832 33856 44288 59858 63664 67712 88576 91517 119716 127328 135424 183034 239432 254656 270848 366068 478864 509312 688367 732136 957728 1018624 1376734 1464272 1915456 2037248 2753468 2928544 3830912 5506936 5857088 7661824 11013872 11714176 15323648 15832441 22027744 23428352 31664882 44055488 46856704 63329764 88110976 126659528 176221952 253319056 352443904 506638112 1013276224 2026552448 4053104896 8106209792