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8131433136 = 2431091554173
BaseRepresentation
bin1111001001010101…
…11101001010110000
3202222200201121021020
413210222331022300
5113123121330021
63422512455440
7405335020101
oct74452751260
922880647236
108131433136
1134a2a89082
1216ab24a580
139c7840cc8
14571d1c3a8
15328d0d7c6
hex1e4abd2b0

8131433136 has 40 divisors (see below), whose sum is σ = 21198933360. Its totient is φ = 2685609216.

The previous prime is 8131433129. The next prime is 8131433143. The reversal of 8131433136 is 6313341318.

It is an interprime number because it is at equal distance from previous prime (8131433129) and next prime (8131433143).

It is a super-2 number, since 2×81314331362 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8131433097 and 8131433106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771855 + ... + 782318.

It is an arithmetic number, because the mean of its divisors is an integer number (529973334).

Almost surely, 28131433136 is an apocalyptic number.

It is an amenable number.

8131433136 is an abundant number, since it is smaller than the sum of its proper divisors (13067500224).

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

8131433136 is a wasteful number, since it uses less digits than its factorization.

8131433136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554293 (or 1554287 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 8131433136 is about 90174.4594439024. The cubic root of 8131433136 is about 2010.8933213871.

The spelling of 8131433136 in words is "eight billion, one hundred thirty-one million, four hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 1554173 3108346 4662519 6216692 9325038 12433384 18650076 24866768 37300152 74600304 169404857 338809714 508214571 677619428 1016429142 1355238856 2032858284 2710477712 4065716568 8131433136