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4235120964 = 223417375557
BaseRepresentation
bin1111110001101110…
…1101000101000100
3101221011010102210000
43330123231011010
532133142332324
61540125201300
7206643635304
oct37433550504
911834112700
104235120964
111883685078
129a2400230
13526554849
142c2679604
1519bc1a9c9
hexfc6ed144

4235120964 has 60 divisors (see below), whose sum is σ = 11135586924. Its totient is φ = 1403528256.

The previous prime is 4235120963. The next prime is 4235120969. The reversal of 4235120964 is 4690215324.

It is a happy number.

4235120964 is a `hidden beast` number, since 42 + 351 + 209 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3814050564 + 421070400 = 61758^2 + 20520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4235120963) 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 19 ways as a sum of consecutive naturals, for example, 18274 + ... + 93830.

Almost surely, 24235120964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4235120964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567793462).

4235120964 is an abundant number, since it is smaller than the sum of its proper divisors (6900465960).

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

4235120964 is a wasteful number, since it uses less digits than its factorization.

4235120964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75746 (or 75735 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4235120964 is about 65077.8070005436. The cubic root of 4235120964 is about 1617.9134041071.

The spelling of 4235120964 in words is "four billion, two hundred thirty-five million, one hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 324 346 519 692 1038 1557 2076 3114 4671 6228 9342 14013 18684 28026 56052 75557 151114 226671 302228 453342 680013 906684 1360026 2040039 2720052 4080078 6120117 8160156 12240234 13071361 24480468 26142722 39214083 52285444 78428166 117642249 156856332 235284498 352926747 470568996 705853494 1058780241 1411706988 2117560482 4235120964