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2070468432208 = 2411431889144829
BaseRepresentation
bin11110001000010001100…
…010010001000101010000
321022221020111122010000201
4132020101202101011100
5232410304404312313
64223054324024544
7302405065203211
oct36102142210520
97287214563021
102070468432208
117290984a8a10
1229532b832154
13120323a60337
14722d57a1408
1538cce7bd0dd
hex1e211891150

2070468432208 has 80 divisors (see below), whose sum is σ = 4480391361600. Its totient is φ = 918742487040.

The previous prime is 2070468432203. The next prime is 2070468432209. The reversal of 2070468432208 is 8022348640702.

It is a super-3 number, since 3×20704684322083 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070468432203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14223538 + ... + 14368366.

It is an arithmetic number, because the mean of its divisors is an integer number (56004892020).

Almost surely, 22070468432208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070468432208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240195680800).

2070468432208 is an abundant number, since it is smaller than the sum of its proper divisors (2409922929392).

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

2070468432208 is a wasteful number, since it uses less digits than its factorization.

2070468432208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146780 (or 146774 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 2070468432208 in words is "two trillion, seventy billion, four hundred sixty-eight million, four hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1889 1892 3778 3784 7556 7568 15112 20779 30224 41558 81227 83116 144829 162454 166232 289658 324908 332464 579316 649816 893497 1158632 1299632 1593119 1786994 2317264 3186238 3573988 6227647 6372476 7147976 12455294 12744952 14295952 24910588 25489904 49821176 68504117 99642352 137008234 273581981 274016468 547163962 548032936 1094327924 1096065872 2188655848 3009401791 4377311696 6018803582 11764025183 12037607164 23528050366 24075214328 47056100732 48150428656 94112201464 129404277013 188224402928 258808554026 517617108052 1035234216104 2070468432208