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2075545478112 = 253232932414191
BaseRepresentation
bin11110001101000000001…
…001101010001111100000
321100102100022222202200220
4132031000021222033200
5233001204120244422
64225254210443040
7302644644321261
oct36150011521740
97312308882626
102075545478112
11730263349717
12296307b93480
13120952856802
1472657b9a968
1538eca392e5c
hex1e34026a3e0

2075545478112 has 96 divisors (see below), whose sum is σ = 5881230996480. Its totient is φ = 638948513280.

The previous prime is 2075545478087. The next prime is 2075545478147. The reversal of 2075545478112 is 2118745455702.

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

It is a super-2 number, since 2×20755454781122 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 16143064 + ... + 16271127.

It is an arithmetic number, because the mean of its divisors is an integer number (61262822880).

Almost surely, 22075545478112 is an apocalyptic number.

It is an amenable number.

2075545478112 is an abundant number, since it is smaller than the sum of its proper divisors (3805685518368).

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

2075545478112 is a wasteful number, since it uses less digits than its factorization.

2075545478112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32414256 (or 32414248 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 51.

The spelling of 2075545478112 in words is "two trillion, seventy-five billion, five hundred forty-five million, four hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 2001 2208 2668 2784 4002 5336 8004 10672 16008 21344 32016 64032 32414191 64828382 97242573 129656764 194485146 259313528 388970292 518627056 745526393 777940584 940011539 1037254112 1491052786 1555881168 1880023078 2236579179 2820034617 2982105572 3111762336 3760046156 4473158358 5640069234 5964211144 7520092312 8946316716 11280138468 11928422288 15040184624 17892633432 21620265397 22560276936 23856844576 30080369248 35785266864 43240530794 45120553872 64860796191 71570533728 86481061588 90241107744 129721592382 172962123176 259443184764 345924246352 518886369528 691848492704 1037772739056 2075545478112