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16429645375584 = 2537212959269519
BaseRepresentation
bin1110111100010101001100…
…1011010010100001100000
32011011122210020100021211220
43233011103023102201200
54123140403204004314
654535401435335040
73314000633321100
oct357052313224140
964148706307756
1016429645375584
115264856549271
121a14212bb1480
139224028a66bc
1440b2b03b7200
151d758d1ee3a9
hexef1532d2860

16429645375584 has 144 divisors (see below), whose sum is σ = 50173153228800. Its totient is φ = 4693804743936.

The previous prime is 16429645375573. The next prime is 16429645375603. The reversal of 16429645375584 is 48557354692461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60824377 + ... + 61093895.

It is an arithmetic number, because the mean of its divisors is an integer number (348424675200).

Almost surely, 216429645375584 is an apocalyptic number.

16429645375584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16429645375584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25086576614400).

16429645375584 is an abundant number, since it is smaller than the sum of its proper divisors (33743507853216).

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

16429645375584 is a wasteful number, since it uses less digits than its factorization.

16429645375584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282505 (or 282490 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 69.

The spelling of 16429645375584 in words is "sixteen trillion, four hundred twenty-nine billion, six hundred forty-five million, three hundred seventy-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 12959 25918 38877 51836 77754 90713 103672 155508 181426 207344 269519 272139 311016 362852 414688 539038 544278 622032 634991 725704 808557 1078076 1088556 1244064 1269982 1451408 1617114 1886633 1904973 2156152 2177112 2539964 2902816 3234228 3773266 3809946 4312304 4354224 5079928 5659899 6468456 7546532 7619892 8624608 8708448 10159856 11319798 12936912 13206431 15093064 15239784 20319712 22639596 25873824 26412862 30186128 30479568 39619293 45279192 52825724 60372256 60959136 79238586 90558384 105651448 158477172 181116768 211302896 316954344 422605792 633908688 1267817376 3492696721 6985393442 10478090163 13970786884 20956180326 24448877047 27941573768 41912360652 48897754094 55883147536 73346631141 83824721304 97795508188 111766295072 146693262282 167649442608 171142139329 195591016376 293386524564 335298885216 342284278658 391182032752 513426417987 586773049128 684568557316 782364065504 1026852835974 1173546098256 1369137114632 2053705671948 2347092196512 2738274229264 4107411343896 5476548458528 8214822687792 16429645375584