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132601612704 = 25311731720133
BaseRepresentation
bin111101101111110101…
…1000000100110100000
3110200021020022212022220
41323133223000212200
54133032003101304
6140525532431040
712402664053021
oct1733753004640
9420236285286
10132601612704
1151266176280
1221848018480
13c672b90832
1465bcc0ac48
1536b1461ad9
hex1edfac09a0

132601612704 has 96 divisors (see below), whose sum is σ = 384924705984. Its totient is φ = 39631841280.

The previous prime is 132601612679. The next prime is 132601612709. The reversal of 132601612704 is 407216106231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1326016127042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (132601612709) 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, 782979 + ... + 937154.

It is an arithmetic number, because the mean of its divisors is an integer number (4009632354).

Almost surely, 2132601612704 is an apocalyptic number.

It is an amenable number.

132601612704 is an abundant number, since it is smaller than the sum of its proper divisors (252323093280).

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

132601612704 is a wasteful number, since it uses less digits than its factorization.

132601612704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720230 (or 1720222 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 132601612704 its reverse (407216106231), we get a palindrome (539817718935).

The spelling of 132601612704 in words is "one hundred thirty-two billion, six hundred one million, six hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 146 176 219 264 292 352 438 528 584 803 876 1056 1168 1606 1752 2336 2409 3212 3504 4818 6424 7008 9636 12848 19272 25696 38544 77088 1720133 3440266 5160399 6880532 10320798 13761064 18921463 20641596 27522128 37842926 41283192 55044256 56764389 75685852 82566384 113528778 125569709 151371704 165132768 227057556 251139418 302743408 376709127 454115112 502278836 605486816 753418254 908230224 1004557672 1381266799 1506836508 1816460448 2009115344 2762533598 3013673016 4018230688 4143800397 5525067196 6027346032 8287600794 11050134392 12054692064 16575201588 22100268784 33150403176 44200537568 66300806352 132601612704