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9942833952 = 2532269128341
BaseRepresentation
bin10010100001010001…
…11001101100100000
3221122221012022001100
421100220321230200
5130330331141302
64322341234400
7501251460042
oct112050715440
927587168040
109942833952
11424251a347
121b15a02a00
13c25bc33cc
146a4721a92
153d2d69d1c
hex250a39b20

9942833952 has 72 divisors (see below), whose sum is σ = 28380266460. Its totient is φ = 3301931520.

The previous prime is 9942833939. The next prime is 9942833959. The reversal of 9942833952 is 2593382499.

It can be written as a sum of positive squares in 2 ways, for example, as 9936899856 + 5934096 = 99684^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9942833959) 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 11 ways as a sum of consecutive naturals, for example, 13302 + ... + 141642.

Almost surely, 29942833952 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 9942833952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190133230).

9942833952 is an abundant number, since it is smaller than the sum of its proper divisors (18437432508).

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

9942833952 is a wasteful number, since it uses less digits than its factorization.

9942833952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128626 (or 128615 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 9942833952 is about 99713.7600935799. The cubic root of 9942833952 is about 2150.3214916398.

The spelling of 9942833952 in words is "nine billion, nine hundred forty-two million, eight hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 269 288 538 807 1076 1614 2152 2421 3228 4304 4842 6456 8608 9684 12912 19368 25824 38736 77472 128341 256682 385023 513364 770046 1026728 1155069 1540092 2053456 2310138 3080184 4106912 4620276 6160368 9240552 12320736 18481104 34523729 36962208 69047458 103571187 138094916 207142374 276189832 310713561 414284748 552379664 621427122 828569496 1104759328 1242854244 1657138992 2485708488 3314277984 4971416976 9942833952