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131285324669520 = 2435778146026589
BaseRepresentation
bin11101110110011100111111…
…001001000010001001010000
3122012211202101000010201011110
4131312130333021002021100
5114201434321103411040
61143115351234213320
736440023506141120
oct3566347711021120
9565752330121143
10131285324669520
11389168801a141a
1212883b85724240
1358341cb18b008
14245c35a6b8c80
15102a074e3c980
hex77673f242250

131285324669520 has 80 divisors (see below), whose sum is σ = 465125150263680. Its totient is φ = 30008074209792.

The previous prime is 131285324669507. The next prime is 131285324669573. The reversal of 131285324669520 is 25966423582131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39073011615 + ... + 39073014974.

It is an arithmetic number, because the mean of its divisors is an integer number (5814064378296).

Almost surely, 2131285324669520 is an apocalyptic number.

131285324669520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131285324669520 is an abundant number, since it is smaller than the sum of its proper divisors (333839825594160).

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

131285324669520 is a wasteful number, since it uses less digits than its factorization.

131285324669520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78146026612 (or 78146026606 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 131285324669520 in words is "one hundred thirty-one trillion, two hundred eighty-five billion, three hundred twenty-four million, six hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 78146026589 156292053178 234438079767 312584106356 390730132945 468876159534 547022186123 625168212712 781460265890 937752319068 1094044372246 1172190398835 1250336425424 1562920531780 1641066558369 1875504638136 2188088744492 2344380797670 2735110930615 3125841063560 3282133116738 3751009276272 4376177488984 4688761595340 5470221861230 6251682127120 6564266233476 8205332791845 8752354977968 9377523190680 10940443722460 13128532466952 16410665583690 18755046381360 21880887444920 26257064933904 32821331167380 43761774889840 65642662334760 131285324669520