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3483554586104 = 23192331145922031
BaseRepresentation
bin110010101100010100000…
…010001001110111111000
3110100000122220112101220002
4302230110002021313320
5424033304433223404
611224153424252132
7506451505264355
oct62542402116770
913300586471802
103483554586104
11112340482531a
12483177471048
131c3661842328
14c0867d6162c
15609366ebc1e
hex32b14089df8

3483554586104 has 128 divisors (see below), whose sum is σ = 7411212288000. Its totient is φ = 1526330044800.

The previous prime is 3483554586097. The next prime is 3483554586137. The reversal of 3483554586104 is 4016854553843.

It is a self number, because there is not a number n which added to its sum of digits gives 3483554586104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 158109569 + ... + 158131599.

It is an arithmetic number, because the mean of its divisors is an integer number (57900096000).

Almost surely, 23483554586104 is an apocalyptic number.

It is an amenable number.

3483554586104 is an abundant number, since it is smaller than the sum of its proper divisors (3927657701896).

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

3483554586104 is a wasteful number, since it uses less digits than its factorization.

3483554586104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23569 (or 23565 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 56.

The spelling of 3483554586104 in words is "three trillion, four hundred eighty-three billion, five hundred fifty-four million, five hundred eighty-six thousand, one hundred four".

Divisors: 1 2 4 8 19 23 31 38 46 62 76 92 124 152 184 248 437 589 713 874 1178 1426 1459 1748 2356 2852 2918 3496 4712 5704 5836 11672 13547 22031 27094 27721 33557 44062 45229 54188 55442 67114 88124 90458 108376 110884 134228 176248 180916 221768 268456 361832 418589 506713 637583 682961 837178 859351 1013426 1040267 1275166 1365922 1674356 1718702 2026852 2080534 2550332 2731844 3348712 3437404 4053704 4161068 5100664 5463688 6874808 8322136 9627547 12976259 15708103 19255094 19765073 25952518 31416206 32143229 38510188 39530146 51905036 62832412 64286458 77020376 79060292 103810072 125664824 128572916 158120584 257145832 298453957 596907914 610721351 739294267 996440099 1193815828 1221442702 1478588534 1992880198 2387631656 2442885404 2957177068 3985760396 4885770808 5914354136 7971520792 14046591073 18932361881 22918122277 28093182146 37864723762 45836244554 56186364292 75729447524 91672489108 112372728584 151458895048 183344978216 435444323263 870888646526 1741777293052 3483554586104