Search a number
-
+
188172132930 = 232519110042183
BaseRepresentation
bin1010111100111111101…
…1101110001001000010
3122222201001001210010200
42233033323232021002
511040334031223210
6222240045510030
716411036511355
oct2571773561102
9588631053120
10188172132930
1172892299651
1230576572316
131498aa35772
1491712b029c
154d64da60c0
hex2bcfeee242

188172132930 has 48 divisors (see below), whose sum is σ = 514997421120. Its totient is φ = 47538222624.

The previous prime is 188172132919. The next prime is 188172132937. The reversal of 188172132930 is 39231271881.

188172132930 is a `hidden beast` number, since 188 + 172 + 13 + 293 + 0 = 666.

It is a super-3 number, since 3×1881721329303 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (188172132937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55019382 + ... + 55022801.

It is an arithmetic number, because the mean of its divisors is an integer number (10729112940).

Almost surely, 2188172132930 is an apocalyptic number.

188172132930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

188172132930 is an abundant number, since it is smaller than the sum of its proper divisors (326825288190).

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

188172132930 is a wasteful number, since it uses less digits than its factorization.

188172132930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110042215 (or 110042212 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 188172132930 in words is "one hundred eighty-eight billion, one hundred seventy-two million, one hundred thirty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 110042183 220084366 330126549 550210915 660253098 990379647 1100421830 1650632745 1980759294 2090801477 3301265490 4181602954 4951898235 6272404431 9903796470 10454007385 12544808862 18817213293 20908014770 31362022155 37634426586 62724044310 94086066465 188172132930