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8132065970 = 257231695237
BaseRepresentation
bin1111001001011010…
…10111101010110010
3202222201220202100112
413210231113222302
5113123302102340
63422534221322
7405343264100
oct74455275262
922881822315
108132065970
1134a3380586
1216ab4b4842
139c7a03072
14572044c70
15328dd6065
hex1e4b57ab2

8132065970 has 48 divisors (see below), whose sum is σ = 17036175960. Its totient is φ = 2786724864.

The previous prime is 8132065937. The next prime is 8132066039. The reversal of 8132065970 is 795602318.

It can be written as a sum of positive squares in 4 ways, for example, as 8069608561 + 62457409 = 89831^2 + 7903^2 .

It is a super-3 number, since 3×81320659703 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 1550192 + ... + 1555428.

Almost surely, 28132065970 is an apocalyptic number.

8132065970 is an abundant number, since it is smaller than the sum of its proper divisors (8904109990).

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

8132065970 is a wasteful number, since it uses less digits than its factorization.

8132065970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8427 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 8132065970 is about 90177.9683182095. The cubic root of 8132065970 is about 2010.9454863881.

The spelling of 8132065970 in words is "eight billion, one hundred thirty-two million, sixty-five thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 3169 5237 6338 10474 15845 22183 26185 31690 36659 44366 52370 73318 110915 155281 183295 221830 256613 310562 366590 513226 776405 1283065 1552810 2566130 16596053 33192106 82980265 116172371 165960530 232344742 580861855 813206597 1161723710 1626413194 4066032985 8132065970