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32268516352 = 21040977047
BaseRepresentation
bin11110000011010110…
…100111110000000000
310002021211220110210021
4132003112213300000
51012041220010402
622453550143224
72221433602102
oct360326476000
9102254813707
1032268516352
1112759810a36
1263067b1b14
133073365b77
1417c183d572
15c8cd7bd37
hex7835a7c00

32268516352 has 44 divisors (see below), whose sum is σ = 64664074960. Its totient is φ = 16094601216.

The previous prime is 32268516277. The next prime is 32268516377. The reversal of 32268516352 is 25361586223.

It is a junction number, because it is equal to n+sod(n) for n = 32268516299 and 32268516308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 380293 + ... + 457339.

Almost surely, 232268516352 is an apocalyptic number.

32268516352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32268516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32332037480).

32268516352 is an abundant number, since it is smaller than the sum of its proper divisors (32395558608).

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

32268516352 is an equidigital number, since it uses as much as digits as its factorization.

32268516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77476 (or 77458 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The spelling of 32268516352 in words is "thirty-two billion, two hundred sixty-eight million, five hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 409 512 818 1024 1636 3272 6544 13088 26176 52352 77047 104704 154094 209408 308188 418816 616376 1232752 2465504 4931008 9862016 19724032 31512223 39448064 63024446 78896128 126048892 252097784 504195568 1008391136 2016782272 4033564544 8067129088 16134258176 32268516352