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132402132992 = 211353373491
BaseRepresentation
bin111101101001111001…
…0000011100000000000
3110122202022222020121102
41323103302003200000
54132124421223432
6140454045113532
712365022363353
oct1732362034000
9418668866542
10132402132992
1151173609208
12217b12588a8
13c6407592bc
1465a052229a
15369dbab962
hex1ed3c83800

132402132992 has 96 divisors (see below), whose sum is σ = 266743517040. Its totient is φ = 65702461440.

The previous prime is 132402132983. The next prime is 132402133001. The reversal of 132402132992 is 299231204231.

It is an interprime number because it is at equal distance from previous prime (132402132983) and next prime (132402133001).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269657867 + ... + 269658357.

Almost surely, 2132402132992 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 132402132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133371758520).

132402132992 is an abundant number, since it is smaller than the sum of its proper divisors (134341384048).

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

132402132992 is an equidigital number, since it uses as much as digits as its factorization.

132402132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 132402132992 in words is "one hundred thirty-two billion, four hundred two million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 353 373 491 512 706 746 982 1024 1412 1492 1964 2048 2824 2984 3928 5648 5968 7856 11296 11936 15712 22592 23872 31424 45184 47744 62848 90368 95488 125696 131669 173323 180736 183143 190976 251392 263338 346646 361472 366286 381952 502784 526676 693292 722944 732572 763904 1005568 1053352 1386584 1465144 2106704 2773168 2930288 4213408 5546336 5860576 8426816 11092672 11721152 16853632 22185344 23442304 33707264 44370688 46884608 64649479 67414528 88741376 93769216 129298958 134829056 177482752 187538432 258597916 269658112 354965504 375076864 517195832 1034391664 2068783328 4137566656 8275133312 16550266624 33100533248 66201066496 132402132992