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4145658920 = 2351323346627
BaseRepresentation
bin1111011100011001…
…1011110000101000
3101200220210021220222
43313012123300220
531442242041140
61523211505212
7204506343104
oct36706336050
911626707828
104145658920
1118381309a7
12978458208
13510b60720
142b482c904
15193e485b5
hexf719bc28

4145658920 has 64 divisors (see below), whose sum is σ = 10482030720. Its totient is φ = 1464148224.

The previous prime is 4145658901. The next prime is 4145658929. The reversal of 4145658920 is 298565414.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4145658929) 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 15 ways as a sum of consecutive naturals, for example, 161354 + ... + 185273.

It is an arithmetic number, because the mean of its divisors is an integer number (163781730).

Almost surely, 24145658920 is an apocalyptic number.

4145658920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4145658920 is an abundant number, since it is smaller than the sum of its proper divisors (6336371800).

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

4145658920 is a wasteful number, since it uses less digits than its factorization.

4145658920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346674 (or 346670 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 4145658920 is about 64386.7915026056. The cubic root of 4145658920 is about 1606.4400490355.

The spelling of 4145658920 in words is "four billion, one hundred forty-five million, six hundred fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 346627 693254 1386508 1733135 2773016 3466270 4506151 6932540 7972421 9012302 13865080 15944842 18024604 22530755 31889684 36049208 39862105 45061510 63779368 79724210 90123020 103641473 159448420 180246040 207282946 318896840 414565892 518207365 829131784 1036414730 2072829460 4145658920