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32830486272 = 28334749781
BaseRepresentation
bin11110100100110110…
…010111011100000000
310010202000100111121000
4132210312113130000
51014214101030042
623025423132000
72241366346263
oct364466273400
9103660314530
1032830486272
1112a17a54291
126442a44000
13313290774c
141836326cda
15cc238674c
hex7a4d97700

32830486272 has 72 divisors (see below), whose sum is σ = 97085544080. Its totient is φ = 10943493120.

The previous prime is 32830486267. The next prime is 32830486277. The reversal of 32830486272 is 27268403823.

It is an interprime number because it is at equal distance from previous prime (32830486267) and next prime (32830486277).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32830486277) by changing a digit.

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, 2367979 + ... + 2381802.

Almost surely, 232830486272 is an apocalyptic number.

32830486272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32830486272 is an abundant number, since it is smaller than the sum of its proper divisors (64255057808).

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

32830486272 is an equidigital number, since it uses as much as digits as its factorization.

32830486272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749806 (or 4749786 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 32830486272 in words is "thirty-two billion, eight hundred thirty million, four hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 4749781 9499562 14249343 18999124 28498686 37998248 42748029 56997372 75996496 85496058 113994744 128244087 151992992 170992116 227989488 256488174 303985984 341984232 455978976 512976348 607971968 683968464 911957952 1025952696 1215943936 1367936928 1823915904 2051905392 2735873856 3647831808 4103810784 5471747712 8207621568 10943495424 16415243136 32830486272