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4202016384 = 27353206467
BaseRepresentation
bin1111101001110101…
…1010111010000000
3101211211211112211110
43322131122322000
532101204011014
61532543443320
7206062356426
oct37235327200
911754745743
104202016384
111866a24115
129932b6540
1351c733737
142bc0dd116
15198d7bd59
hexfa75ae80

4202016384 has 64 divisors (see below), whose sum is σ = 11372257440. Its totient is φ = 1374237696.

The previous prime is 4202016347. The next prime is 4202016389. The reversal of 4202016384 is 4836102024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×42020163843 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4202016389) 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, 82882 + ... + 123585.

Almost surely, 24202016384 is an apocalyptic number.

It is an amenable number.

4202016384 is an abundant number, since it is smaller than the sum of its proper divisors (7170241056).

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

4202016384 is a wasteful number, since it uses less digits than its factorization.

4202016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206537 (or 206525 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4202016384 is about 64822.9618576628. The cubic root of 4202016384 is about 1613.6868024706.

The spelling of 4202016384 in words is "four billion, two hundred two million, sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352 206467 412934 619401 825868 1238802 1651736 2477604 3303472 4955208 6606944 9910416 10942751 13213888 19820832 21885502 26427776 32828253 39641664 43771004 65656506 79283328 87542008 131313012 175084016 262626024 350168032 525252048 700336064 1050504096 1400672128 2101008192 4202016384