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661167468 = 2233131727701
BaseRepresentation
bin100111011010001…
…001110101101100
31201002002210021000
4213122021311230
52323224324333
6145335040300
722245554643
oct4732116554
91632083230
10661167468
1130a2369a5
12165510090
13a6c94070
1463b4a35a
153d0a1713
hex27689d6c

661167468 has 96 divisors (see below), whose sum is σ = 1954653120. Its totient is φ = 191462400.

The previous prime is 661167443. The next prime is 661167503. The reversal of 661167468 is 864761166.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10018 + ... + 37718.

It is an arithmetic number, because the mean of its divisors is an integer number (20360970).

Almost surely, 2661167468 is an apocalyptic number.

661167468 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661167468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977326560).

661167468 is an abundant number, since it is smaller than the sum of its proper divisors (1293485652).

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

661167468 is a wasteful number, since it uses less digits than its factorization.

661167468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27744 (or 27736 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 661167468 is about 25713.1769332379. The cubic root of 661167468 is about 871.1718335117.

The spelling of 661167468 in words is "six hundred sixty-one million, one hundred sixty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7956 11934 23868 27701 55402 83103 110804 166206 249309 332412 360113 470917 498618 720226 747927 941834 997236 1080339 1412751 1440452 1495854 1883668 2160678 2825502 2991708 3241017 4238253 4321356 5651004 6121921 6482034 8476506 9723051 12243842 12714759 12964068 16953012 18365763 19446102 24487684 25429518 36731526 38892204 50859036 55097289 73463052 110194578 165291867 220389156 330583734 661167468