Search a number
-
+
186451131680 = 25511105938143
BaseRepresentation
bin1010110110100101011…
…0100111110100100000
3122211021002200212020122
42231221112213310200
511023322442203210
6221353210455412
716320301320122
oct2555126476440
9584232625218
10186451131680
1172089891970
1230176134568
1314775315128
14904a8bd212
154cb3c54b55
hex2b695a7d20

186451131680 has 48 divisors (see below), whose sum is σ = 480535421184. Its totient is φ = 67800410880.

The previous prime is 186451131641. The next prime is 186451131697. The reversal of 186451131680 is 86131154681.

186451131680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52967312 + ... + 52970831.

It is an arithmetic number, because the mean of its divisors is an integer number (10011154608).

Almost surely, 2186451131680 is an apocalyptic number.

186451131680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

186451131680 is an abundant number, since it is smaller than the sum of its proper divisors (294084289504).

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

186451131680 is a wasteful number, since it uses less digits than its factorization.

186451131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105938169 (or 105938161 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 186451131680 in words is "one hundred eighty-six billion, four hundred fifty-one million, one hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 105938143 211876286 423752572 529690715 847505144 1059381430 1165319573 1695010288 2118762860 2330639146 3390020576 4237525720 4661278292 5826597865 8475051440 9322556584 11653195730 16950102880 18645113168 23306391460 37290226336 46612782920 93225565840 186451131680