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4122328896 = 26337340801
BaseRepresentation
bin1111010110110101…
…1011111101000000
3101122021220000011000
43311231123331000
531420304011041
61521015452000
7204104134410
oct36555337500
911567800130
104122328896
111825a46794
12970687000
1350908268a
142b16b8640
15191d8abb6
hexf5b5bf40

4122328896 has 112 divisors (see below), whose sum is σ = 13850193280. Its totient is φ = 1177804800.

The previous prime is 4122328849. The next prime is 4122328897. The reversal of 4122328896 is 6988232214.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122328897) 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 15 ways as a sum of consecutive naturals, for example, 158305 + ... + 182496.

It is an arithmetic number, because the mean of its divisors is an integer number (123662440).

Almost surely, 24122328896 is an apocalyptic number.

It is an amenable number.

4122328896 is an abundant number, since it is smaller than the sum of its proper divisors (9727864384).

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

4122328896 is a wasteful number, since it uses less digits than its factorization.

4122328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340829 (or 340813 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4122328896 is about 64205.3650094756. The cubic root of 4122328896 is about 1603.4209222607.

The spelling of 4122328896 in words is "four billion, one hundred twenty-two million, three hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 340801 681602 1022403 1363204 2044806 2385607 2726408 3067209 4089612 4771214 5452816 6134418 7156821 8179224 9201627 9542428 10905632 12268836 14313642 16358448 18403254 19084856 21470463 21811264 24537672 28627284 32716896 36806508 38169712 42940926 49075344 57254568 64411389 65433792 73613016 76339424 85881852 98150688 114509136 128822778 147226032 152678848 171763704 196301376 229018272 257645556 294452064 343527408 458036544 515291112 588904128 687054816 1030582224 1374109632 2061164448 4122328896