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38434468512 = 2531136396277
BaseRepresentation
bin100011110010110111…
…110111001010100000
310200012120020022000210
4203302313313022200
51112203210443022
625353452014120
72530304410026
oct436267671240
9120176208023
1038434468512
111533328a070
127547761340
13381692767b
141c086ca716
15eee345a0c
hex8f2df72a0

38434468512 has 48 divisors (see below), whose sum is σ = 110062344672. Its totient is φ = 11646808320.

The previous prime is 38434468483. The next prime is 38434468519. The reversal of 38434468512 is 21586443483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38434468519) 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 7 ways as a sum of consecutive naturals, for example, 18197083 + ... + 18199194.

It is an arithmetic number, because the mean of its divisors is an integer number (2292965514).

Almost surely, 238434468512 is an apocalyptic number.

38434468512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38434468512 is an abundant number, since it is smaller than the sum of its proper divisors (71627876160).

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

38434468512 is a wasteful number, since it uses less digits than its factorization.

38434468512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36396301 (or 36396293 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 38434468512 in words is "thirty-eight billion, four hundred thirty-four million, four hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 36396277 72792554 109188831 145585108 218377662 291170216 400359047 436755324 582340432 800718094 873510648 1164680864 1201077141 1601436188 1747021296 2402154282 3202872376 3494042592 4804308564 6405744752 9608617128 12811489504 19217234256 38434468512