Search a number
-
+
187133327550 = 232521343743921
BaseRepresentation
bin1010111001001000000…
…0111111100010111110
3122220000122101000001100
42232102000333202332
511031222112440200
6221545020353530
716343224016301
oct2562200774276
9586018330040
10187133327550
11723a9980804
12303266a58a6
131485375c720
1490b3340b38
154d03aabd00
hex2b9203f8be

187133327550 has 144 divisors (see below), whose sum is σ = 554031445968. Its totient is φ = 44992281600.

The previous prime is 187133327533. The next prime is 187133327551. The reversal of 187133327550 is 55723331781.

187133327550 is a `hidden beast` number, since 1 + 8 + 71 + 3 + 3 + 3 + 27 + 550 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 187133327496 and 187133327505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187133327551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120411 + ... + 623510.

It is an arithmetic number, because the mean of its divisors is an integer number (3847440597).

Almost surely, 2187133327550 is an apocalyptic number.

187133327550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 187133327550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277015722984).

187133327550 is an abundant number, since it is smaller than the sum of its proper divisors (366898118418).

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

187133327550 is a wasteful number, since it uses less digits than its factorization.

187133327550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743995 (or 743987 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 187133327550 in words is "one hundred eighty-seven billion, one hundred thirty-three million, three hundred twenty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 43 45 50 65 75 78 86 90 117 129 130 150 195 215 225 234 258 325 387 390 430 450 559 585 645 650 774 975 1075 1118 1170 1290 1677 1935 1950 2150 2795 2925 3225 3354 3870 5031 5590 5850 6450 8385 9675 10062 13975 16770 19350 25155 27950 41925 50310 83850 125775 251550 743921 1487842 2231763 3719605 4463526 6695289 7439210 9670973 11158815 13390578 18598025 19341946 22317630 29012919 31988603 33476445 37196050 48354865 55794075 58025838 63977206 66952890 87038757 95965809 96709730 111588150 145064595 159943015 167382225 174077514 191931618 241774325 287897427 290129190 319886030 334764450 415851839 435193785 479829045 483548650 575794854 725322975 799715075 831703678 870387570 959658090 1247555517 1439487135 1450645950 1599430150 2079259195 2175968925 2399145225 2495111034 2878974270 3742666551 4158518390 4351937850 4798290450 6237777585 7197435675 7485333102 10396295975 12475555170 14394871350 18713332755 20792591950 31188887925 37426665510 62377775850 93566663775 187133327550