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8681452968 = 23317375411063
BaseRepresentation
bin10000001010111010…
…00111010110101000
3211102000200111122010
420011131013112220
5120234422443333
63553241355520
7425064063336
oct100535072650
924360614563
108681452968
1137554aa121
121823498ba0
13a8478a526
145c4db4b56
1535c257563
hex2057475a8

8681452968 has 128 divisors (see below), whose sum is σ = 23667275520. Its totient is φ = 2642595840.

The previous prime is 8681452943. The next prime is 8681452973. The reversal of 8681452968 is 8692541868.

It is a happy number.

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, 8166405 + ... + 8167467.

It is an arithmetic number, because the mean of its divisors is an integer number (184900590).

Almost surely, 28681452968 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 8681452968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833637760).

8681452968 is an abundant number, since it is smaller than the sum of its proper divisors (14985822552).

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

8681452968 is a wasteful number, since it uses less digits than its factorization.

8681452968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1663 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The square root of 8681452968 is about 93174.3149585764. The cubic root of 8681452968 is about 2055.2475488693.

Subtracting 8681452968 from its reverse (8692541868), we obtain a square (11088900 = 33302).

The spelling of 8681452968 in words is "eight billion, six hundred eighty-one million, four hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 541 629 888 1063 1082 1258 1623 1887 2126 2164 2516 3189 3246 3774 4252 4328 5032 6378 6492 7548 8504 9197 12756 12984 15096 18071 18394 20017 25512 27591 36142 36788 39331 40034 54213 55182 60051 72284 73576 78662 80068 108426 110364 117993 120102 144568 157324 160136 216852 220728 235986 240204 314648 340289 433704 471972 480408 575083 668627 680578 943944 1020867 1150166 1337254 1361156 1725249 2005881 2041734 2300332 2674508 2722312 3450498 4011762 4083468 4600664 5349016 6900996 8023524 8166936 9776411 13801992 16047048 19552822 21278071 29329233 39105644 42556142 58658466 63834213 78211288 85112284 117316932 127668426 170224568 234633864 255336852 361727207 510673704 723454414 1085181621 1446908828 2170363242 2893817656 4340726484 8681452968