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8629759971 = 327136980317
BaseRepresentation
bin10000000100101111…
…11010111111100011
3211021102102020011200
420002113322333203
5120133204304341
63544153412243
7423565515030
oct100227727743
924242366150
108629759971
113729302438
12180a10a083
13a76b5b661
145bc19a387
15357945db6
hex2025fafe3

8629759971 has 12 divisors (see below), whose sum is σ = 14245953072. Its totient is φ = 4931291376.

The previous prime is 8629759969. The next prime is 8629759987. The reversal of 8629759971 is 1799579268.

It is not a de Polignac number, because 8629759971 - 21 = 8629759969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 136980317 = 8629759971 / (8 + 6 + 2 + 9 + 7 + 5 + 9 + 9 + 7 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 8629759899 and 8629759908.

It is not an unprimeable number, because it can be changed into a prime (8629759961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 68490096 + ... + 68490221.

It is an arithmetic number, because the mean of its divisors is an integer number (1187162756).

Almost surely, 28629759971 is an apocalyptic number.

8629759971 is a deficient number, since it is larger than the sum of its proper divisors (5616193101).

8629759971 is a wasteful number, since it uses less digits than its factorization.

8629759971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136980330 (or 136980327 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The square root of 8629759971 is about 92896.5013926789. The cubic root of 8629759971 is about 2051.1601579809.

The spelling of 8629759971 in words is "eight billion, six hundred twenty-nine million, seven hundred fifty-nine thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 63 136980317 410940951 958862219 1232822853 2876586657 8629759971