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132284306190 = 23549913076761
BaseRepresentation
bin111101100110011000…
…0100101001100001110
3110122110010021000121210
41323030300211030032
54131404240244230
6140434235435250
712362062023111
oct1731460451416
9418403230553
10132284306190
1151113051193
12217798b5b26
13c6222135ba
14658ca10578
153693684eb0
hex1eccc2530e

132284306190 has 64 divisors (see below), whose sum is σ = 318409056000. Its totient is φ = 35172983040.

The previous prime is 132284306177. The next prime is 132284306197. The reversal of 132284306190 is 91603482231.

It is a super-2 number, since 2×1322843061902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132284306197) 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, 19562410 + ... + 19569170.

It is an arithmetic number, because the mean of its divisors is an integer number (4975141500).

Almost surely, 2132284306190 is an apocalyptic number.

132284306190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132284306190 is an abundant number, since it is smaller than the sum of its proper divisors (186124749810).

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

132284306190 is a wasteful number, since it uses less digits than its factorization.

132284306190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 132284306190 in words is "one hundred thirty-two billion, two hundred eighty-four million, three hundred six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 499 998 1307 1497 2495 2614 2994 3921 4990 6535 6761 7485 7842 13070 13522 14970 19605 20283 33805 39210 40566 67610 101415 202830 652193 1304386 1956579 3260965 3373739 3913158 6521930 6747478 8836627 9782895 10121217 16868695 17673254 19565790 20242434 26509881 33737390 44183135 50606085 53019762 88366270 101212170 132549405 265098810 4409476873 8818953746 13228430619 22047384365 26456861238 44094768730 66142153095 132284306190