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34983718128 = 243380980829
BaseRepresentation
bin100000100101001100…
…010010110011110000
310100022002001000102000
4200211030102303300
51033121312440003
624023222254000
72345633461212
oct404514226360
9110262030360
1034983718128
1113922440247
126943b87300
1333b6a42a38
14199c2ac5b2
15d9b4161a3
hex825312cf0

34983718128 has 40 divisors (see below), whose sum is σ = 100416229200. Its totient is φ = 11661239232.

The previous prime is 34983718127. The next prime is 34983718139. The reversal of 34983718128 is 82181738943.

It is a happy number.

34983718128 is a `hidden beast` number, since 3 + 498 + 3 + 71 + 81 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34983718127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40489983 + ... + 40490846.

It is an arithmetic number, because the mean of its divisors is an integer number (2510405730).

Almost surely, 234983718128 is an apocalyptic number.

It is an amenable number.

34983718128 is an abundant number, since it is smaller than the sum of its proper divisors (65432511072).

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

34983718128 is a wasteful number, since it uses less digits than its factorization.

34983718128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80980846 (or 80980834 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 34983718128 in words is "thirty-four billion, nine hundred eighty-three million, seven hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 80980829 161961658 242942487 323923316 485884974 647846632 728827461 971769948 1295693264 1457654922 1943539896 2186482383 2915309844 3887079792 4372964766 5830619688 8745929532 11661239376 17491859064 34983718128