Search a number
-
+
9964740096 = 2933720829
BaseRepresentation
bin10010100011111000…
…11101111000000000
3221201110102020122000
421101330131320000
5130401433140341
64324442544000
7501635615253
oct112174357000
927643366560
109964740096
1142539217a3
121b21208000
13c2a5c331c
146a75c509a
153d4c458b6
hex251f1de00

9964740096 has 80 divisors (see below), whose sum is σ = 29496363600. Its totient is φ = 3321575424.

The previous prime is 9964740067. The next prime is 9964740101. The reversal of 9964740096 is 6900474699.

9964740096 is a `hidden beast` number, since 99 + 64 + 7 + 400 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346591 + ... + 374238.

It is an arithmetic number, because the mean of its divisors is an integer number (368704545).

Almost surely, 29964740096 is an apocalyptic number.

9964740096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9964740096 is an abundant number, since it is smaller than the sum of its proper divisors (19531623504).

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

9964740096 is an equidigital number, since it uses as much as digits as its factorization.

9964740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720856 (or 720834 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9964740096 is about 99823.5447978081. The cubic root of 9964740096 is about 2151.8995360387.

The spelling of 9964740096 in words is "nine billion, nine hundred sixty-four million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 720829 1441658 2162487 2883316 4324974 5766632 6487461 8649948 11533264 12974922 17299896 19462383 23066528 25949844 34599792 38924766 46133056 51899688 69199584 77849532 92266112 103799376 138399168 155699064 184532224 207598752 276798336 311398128 369064448 415197504 553596672 622796256 830395008 1107193344 1245592512 1660790016 2491185024 3321580032 4982370048 9964740096