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9420332272 = 2413238392347
BaseRepresentation
bin10001100010111111…
…01101110011110000
3220022112000110111021
420301133231303300
5123243101113042
64154434225224
7452305334401
oct106137556360
926275013437
109420332272
113aa459407a
1219aaa25214
13b71890310
1465518d9a8
153a2059867
hex2317edcf0

9420332272 has 80 divisors (see below), whose sum is σ = 20543685120. Its totient is φ = 4152082176.

The previous prime is 9420332269. The next prime is 9420332279. The reversal of 9420332272 is 2722330249.

It is a super-2 number, since 2×94203322722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9420332279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4012603 + ... + 4014949.

It is an arithmetic number, because the mean of its divisors is an integer number (256796064).

Almost surely, 29420332272 is an apocalyptic number.

9420332272 is a gapful number since it is divisible by the number (92) 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 9420332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271842560).

9420332272 is an abundant number, since it is smaller than the sum of its proper divisors (11123352848).

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

9420332272 is a wasteful number, since it uses less digits than its factorization.

9420332272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 9420332272 is about 97058.3961952803. The cubic root of 9420332272 is about 2111.9748416329.

The spelling of 9420332272 in words is "nine billion, four hundred twenty million, three hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 839 1196 1678 2347 2392 3356 4694 4784 6712 9388 10907 13424 18776 19297 21814 30511 37552 38594 43628 53981 61022 77188 87256 107962 122044 154376 174512 215924 244088 250861 308752 431848 488176 501722 701753 863696 1003444 1403506 1969133 2006888 2807012 3938266 4013776 5614024 7876532 11228048 15753064 25598729 31506128 45290059 51197458 90580118 102394916 181160236 204789832 362320472 409579664 588770767 724640944 1177541534 2355083068 4710166136 9420332272