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1393001629272 = 233311862967943
BaseRepresentation
bin10100010001010101010…
…111100000011001011000
311221011120200022201122000
4110101111113200121120
5140310331404114042
62543534111201000
7202432610324601
oct24212527403130
94834520281560
101393001629272
11497850116830
121a5b81516160
13a1489a516c6
144b5c8d94da8
152637da6874c
hex144555e0658

1393001629272 has 128 divisors (see below), whose sum is σ = 4221768384000. Its totient is φ = 422066574720.

The previous prime is 1393001629193. The next prime is 1393001629301. The reversal of 1393001629272 is 2729261003931.

1393001629272 is a `hidden beast` number, since 1 + 39 + 300 + 162 + 92 + 72 = 666.

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 31 ways as a sum of consecutive naturals, for example, 20468533 + ... + 20536475.

It is an arithmetic number, because the mean of its divisors is an integer number (32982565500).

Almost surely, 21393001629272 is an apocalyptic number.

1393001629272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1393001629272 is an abundant number, since it is smaller than the sum of its proper divisors (2828766754728).

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

1393001629272 is a wasteful number, since it uses less digits than its factorization.

1393001629272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76598 (or 76588 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1393001629272 in words is "one trillion, three hundred ninety-three billion, one million, six hundred twenty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 8629 17258 25887 34516 51774 67943 69032 77661 94919 103548 135886 155322 189838 203829 207096 232983 271772 284757 310644 379676 407658 465966 543544 569514 611487 621288 747373 759352 815316 854271 931932 1139028 1222974 1494746 1630632 1708542 1834461 1863864 2242119 2278056 2445948 2562813 2989492 3417084 3668922 4484238 4891896 5125626 5978984 6726357 6834168 7337844 8968476 10251252 13452714 14675688 17936952 20179071 20502504 26905428 40358142 53810856 80716284 161432568 586280147 1172560294 1758840441 2345120588 3517680882 4690241176 5276521323 6449081617 7035361764 10553042646 12898163234 14070723528 15829563969 19347244851 21106085292 25796326468 31659127938 38694489702 42212170584 51592652936 58041734553 63318255876 77388979404 116083469106 126636511752 154777958808 174125203659 232166938212 348250407318 464333876424 696500814636 1393001629272