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601163664 = 243671071747
BaseRepresentation
bin100011110101010…
…000011110010000
31112220012021111220
4203311100132100
52212344214124
6135353005040
720616543513
oct4365203620
91486167456
10601163664
11289383182
121493b3780
139771545a
1459baad7a
1537b9c879
hex23d50790

601163664 has 80 divisors (see below), whose sum is σ = 1591826688. Its totient is φ = 195440256.

The previous prime is 601163659. The next prime is 601163669. The reversal of 601163664 is 466361106.

It is an interprime number because it is at equal distance from previous prime (601163659) and next prime (601163669).

It is a super-2 number, since 2×6011636642 = 722795501827809792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601163669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343239 + ... + 344985.

Almost surely, 2601163664 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 601163664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795913344).

601163664 is an abundant number, since it is smaller than the sum of its proper divisors (990663024).

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

601163664 is a wasteful number, since it uses less digits than its factorization.

601163664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 601163664 is about 24518.6391139476. The cubic root of 601163664 is about 843.9775755293.

The spelling of 601163664 in words is "six hundred one million, one hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 107 134 201 214 268 321 402 428 536 642 804 856 1072 1284 1608 1712 1747 2568 3216 3494 5136 5241 6988 7169 10482 13976 14338 20964 21507 27952 28676 41928 43014 57352 83856 86028 114704 117049 172056 186929 234098 344112 351147 373858 468196 560787 702294 747716 936392 1121574 1404588 1495432 1872784 2243148 2809176 2990864 4486296 5618352 8972592 12524243 25048486 37572729 50096972 75145458 100193944 150290916 200387888 300581832 601163664