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132150416268 = 223132393544427
BaseRepresentation
bin111101100010011000…
…1110101001110001100
3110122002210022201011210
41323010301311032030
54131121001310033
6140413054014420
712355545001353
oct1730461651614
9418083281153
10132150416268
1151054512762
1221740aa7410
13c6005653b0
146578d1a99a
153686a38d63
hex1ec4c7538c

132150416268 has 48 divisors (see below), whose sum is σ = 333459786240. Its totient is φ = 40491522624.

The previous prime is 132150416267. The next prime is 132150416269. The reversal of 132150416268 is 862614051231.

132150416268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132150416267) and next prime (132150416269).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (132150416261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1734930 + ... + 1809497.

It is an arithmetic number, because the mean of its divisors is an integer number (6947078880).

Almost surely, 2132150416268 is an apocalyptic number.

It is an amenable number.

132150416268 is an abundant number, since it is smaller than the sum of its proper divisors (201309369972).

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

132150416268 is a wasteful number, since it uses less digits than its factorization.

132150416268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544686 (or 3544684 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 132150416268 its reverse (862614051231), we get a palindrome (994764467499).

The spelling of 132150416268 in words is "one hundred thirty-two billion, one hundred fifty million, four hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 478 717 956 1434 2868 3107 6214 9321 12428 18642 37284 3544427 7088854 10633281 14177708 21266562 42533124 46077551 92155102 138232653 184310204 276465306 552930612 847118053 1694236106 2541354159 3388472212 5082708318 10165416636 11012534689 22025069378 33037604067 44050138756 66075208134 132150416268