Search a number
-
+
39730164084 = 223213201742089
BaseRepresentation
bin100101000000000110…
…100011000101110100
310210112212022110012200
4211000012203011310
51122331410222314
630130215144500
72604356552112
oct450006430564
9123485273180
1039730164084
1115938707356
127849675130
1339921b6340
141ccc80aab2
151077e85709
hex9401a3174

39730164084 has 72 divisors (see below), whose sum is σ = 108210527880. Its totient is φ = 12218314752.

The previous prime is 39730164083. The next prime is 39730164119. The reversal of 39730164084 is 48046103793.

It can be written as a sum of positive squares in 4 ways, for example, as 18144090000 + 21586074084 = 134700^2 + 146922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39730164083) 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 23 ways as a sum of consecutive naturals, for example, 922912 + ... + 965000.

Almost surely, 239730164084 is an apocalyptic number.

It is an amenable number.

39730164084 is an abundant number, since it is smaller than the sum of its proper divisors (68480363796).

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

39730164084 is a wasteful number, since it uses less digits than its factorization.

39730164084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44129 (or 44124 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 39730164084 in words is "thirty-nine billion, seven hundred thirty million, one hundred sixty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2017 4034 6051 8068 12102 18153 24204 26221 36306 42089 52442 72612 78663 84178 104884 126267 157326 168356 235989 252534 314652 378801 471978 505068 547157 757602 943956 1094314 1515204 1641471 2188628 3282942 4924413 6565884 9848826 19697652 84893513 169787026 254680539 339574052 509361078 764041617 1018722156 1103615669 1528083234 2207231338 3056166468 3310847007 4414462676 6621694014 9932541021 13243388028 19865082042 39730164084