Search a number
-
+
188930503808 = 2710323732
BaseRepresentation
bin1010111111110100100…
…0101011010010000000
3200001122220002000101222
42233331020223102000
511043412202110213
6222443220214212
716435605533234
oct2577510532200
9601586060358
10188930503808
1173141386942
123074853a368
1314a7bba1427
149203cc05c4
154dab758808
hex2bfd22b480

188930503808 has 72 divisors (see below), whose sum is σ = 381096387945. Its totient is φ = 93297314304.

The previous prime is 188930503807. The next prime is 188930503823. The reversal of 188930503808 is 808305039881.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 188571325504 + 359178304 = 434248^2 + 18952^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=307352.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 188930503808.

It is not an unprimeable number, because it can be changed into a prime (188930503807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 506515910 + ... + 506516282.

Almost surely, 2188930503808 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 188930503808

188930503808 is an abundant number, since it is smaller than the sum of its proper divisors (192165884137).

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

188930503808 is an frugal number, since it uses more digits than its factorization.

188930503808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 53.

The spelling of 188930503808 in words is "one hundred eighty-eight billion, nine hundred thirty million, five hundred three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 373 412 746 824 1492 1648 2984 3296 5968 6592 10609 11936 13184 21218 23872 38419 42436 47744 76838 84872 139129 153676 169744 278258 307352 339488 556516 614704 678976 1113032 1229408 1357952 2226064 2458816 3957157 4452128 4917632 7914314 8904256 14330287 15828628 17808512 28660574 31657256 57321148 63314512 114642296 126629024 229284592 253258048 458569184 506516096 917138368 1476019561 1834276736 2952039122 5904078244 11808156488 23616312976 47232625952 94465251904 188930503808