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132230402432 = 276764723831
BaseRepresentation
bin111101100100110001…
…0111101000110000000
3110122022100211102120022
41323021202331012000
54131301440334212
6140425032233012
712360535606232
oct1731142750600
9418270742508
10132230402432
1151095684527
122176383b768
13c613cbc39b
1465857bc252
15368da88772
hex1ec98bd180

132230402432 has 64 divisors (see below), whose sum is σ = 267783978240. Its totient is φ = 65025016320.

The previous prime is 132230402351. The next prime is 132230402471. The reversal of 132230402432 is 234204032231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5536757 + ... + 5560587.

It is an arithmetic number, because the mean of its divisors is an integer number (4184124660).

Almost surely, 2132230402432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132230402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133891989120).

132230402432 is an abundant number, since it is smaller than the sum of its proper divisors (135553575808).

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

132230402432 is an equidigital number, since it uses as much as digits as its factorization.

132230402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24559 (or 24547 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 132230402432 its reverse (234204032231), we get a palindrome (366434434663).

The spelling of 132230402432 in words is "one hundred thirty-two billion, two hundred thirty million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 647 1072 1294 2144 2588 4288 5176 8576 10352 20704 23831 41408 43349 47662 82816 86698 95324 173396 190648 346792 381296 693584 762592 1387168 1525184 1596677 2774336 3050368 3193354 5548672 6386708 12773416 15418657 25546832 30837314 51093664 61674628 102187328 123349256 204374656 246698512 493397024 986794048 1033050019 1973588096 2066100038 4132200076 8264400152 16528800304 33057600608 66115201216 132230402432