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1681980169824 = 253219307379417
BaseRepresentation
bin11000011110011101110…
…101001001111001100000
312221210111002102121022100
4120132131311021321200
5210024143410413244
63324405132210400
7232343015356353
oct30363565117140
95853432377270
101681980169824
11599361a58459
12231b8b909a00
13c27c1381176
145b5a043c29a
152db43849b69
hex1879dd49e60

1681980169824 has 72 divisors (see below), whose sum is σ = 5034874866840. Its totient is φ = 531151630848.

The previous prime is 1681980169819. The next prime is 1681980169853. The reversal of 1681980169824 is 4289610891861.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153684237 + ... + 153695180.

It is an arithmetic number, because the mean of its divisors is an integer number (69928817595).

Almost surely, 21681980169824 is an apocalyptic number.

It is an amenable number.

1681980169824 is an abundant number, since it is smaller than the sum of its proper divisors (3352894697016).

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

1681980169824 is a wasteful number, since it uses less digits than its factorization.

1681980169824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307379452 (or 307379441 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 1681980169824 in words is "one trillion, six hundred eighty-one billion, nine hundred eighty million, one hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 307379417 614758834 922138251 1229517668 1844276502 2459035336 2766414753 3688553004 4918070672 5532829506 5840208923 7377106008 9836141344 11065659012 11680417846 14754212016 17520626769 22131318024 23360835692 29508424032 35041253538 44262636048 46721671384 52561880307 70082507076 88525272096 93443342768 105123760614 140165014152 186886685536 210247521228 280330028304 420495042456 560660056608 840990084912 1681980169824