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9769982976 = 210321381547
BaseRepresentation
bin10010001100101011…
…00001110000000000
3221012212221120002100
421012111201300000
5130002103423401
64253244350400
7464052325245
oct110625416000
927185846070
109769982976
11416399a8a6
121a87b45400
13bc9153520
146897a95cc
153c2ac4b86
hex246561c00

9769982976 has 132 divisors (see below), whose sum is σ = 30381033592. Its totient is φ = 3006111744.

The previous prime is 9769982899. The next prime is 9769982983. The reversal of 9769982976 is 6792899679.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79035 + ... + 160581.

Almost surely, 29769982976 is an apocalyptic number.

9769982976 is a gapful number since it is divisible by the number (96) 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 9769982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190516796).

9769982976 is an abundant number, since it is smaller than the sum of its proper divisors (20611050616).

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

9769982976 is a wasteful number, since it uses less digits than its factorization.

9769982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81586 (or 81565 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The square root of 9769982976 is about 98843.2242290791. The cubic root of 9769982976 is about 2137.7878395178.

The spelling of 9769982976 in words is "nine billion, seven hundred sixty-nine million, nine hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 9216 9984 13312 14976 19968 29952 39936 59904 81547 119808 163094 244641 326188 489282 652376 733923 978564 1060111 1304752 1467846 1957128 2120222 2609504 2935692 3180333 3914256 4240444 5219008 5871384 6360666 7828512 8480888 9540999 10438016 11742768 12721332 15657024 16961776 19081998 20876032 23485536 25442664 31314048 33923552 38163996 41752064 46971072 50885328 62628096 67847104 76327992 83504128 93942144 101770656 125256192 135694208 152655984 187884288 203541312 250512384 271388416 305311968 375768576 407082624 542776832 610623936 751537152 814165248 1085553664 1221247872 1628330496 2442495744 3256660992 4884991488 9769982976