Search a number
-
+
38657324328 = 23371675092707
BaseRepresentation
bin100100000000001001…
…111111010100101000
310200210002120112201220
4210000021333110220
51113132233334303
625431532342040
72535651556320
oct440011772450
9120702515656
1038657324328
1115438062a27
1275aa314920
133850b54c0c
141c2a13c280
151013bb7053
hex90027f528

38657324328 has 128 divisors (see below), whose sum is σ = 111370291200. Its totient is φ = 10953195264.

The previous prime is 38657324327. The next prime is 38657324339. The reversal of 38657324328 is 82342375683.

It is not an unprimeable number, because it can be changed into a prime (38657324327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14279151 + ... + 14281857.

It is an arithmetic number, because the mean of its divisors is an integer number (870080400).

Almost surely, 238657324328 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 38657324328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55685145600).

38657324328 is an abundant number, since it is smaller than the sum of its proper divisors (72712966872).

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

38657324328 is a wasteful number, since it uses less digits than its factorization.

38657324328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3395 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 38657324328 in words is "thirty-eight billion, six hundred fifty-seven million, three hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 509 668 1002 1018 1169 1336 1527 2004 2036 2338 2707 3054 3507 3563 4008 4072 4676 5414 6108 7014 7126 8121 9352 10689 10828 12216 14028 14252 16242 18949 21378 21656 28056 28504 32484 37898 42756 56847 64968 75796 85003 85512 113694 151592 170006 227388 255009 340012 452069 454776 510018 595021 680024 904138 1020036 1190042 1356207 1377863 1785063 1808276 2040072 2380084 2712414 2755726 3164483 3570126 3616552 4133589 4760168 5424828 5511452 6328966 7140252 8267178 9493449 9645041 10849656 11022904 12657932 14280504 16534356 18986898 19290082 25315864 28935123 33068712 37973796 38580164 57870246 75947592 77160328 115740492 230103121 231480984 460206242 690309363 920412484 1380618726 1610721847 1840824968 2761237452 3221443694 4832165541 5522474904 6442887388 9664331082 12885774776 19328662164 38657324328