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1481785205796 = 22347296612
BaseRepresentation
bin10101100100000001010…
…001111110010000100100
312020122202011021201110000
4111210001101332100210
5143234144003041141
63052420035301300
7212025006301200
oct25440121762044
95218664251400
101481785205796
11521470133965
121bb21aa4a830
13a996884bc7c
1451a0c4c9b00
15288282135b6
hex1590147e424

1481785205796 has 135 divisors (see below), whose sum is σ = 4506583122657. Its totient is φ = 423323379360.

The previous prime is 1481785205783. The next prime is 1481785205807. The reversal of 1481785205796 is 6975025871841.

The square root of 1481785205796 is 1217286.

It is a perfect power (a square), and thus also a powerful number.

1481785205796 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 7 + 8 + 52 + 0 + 579 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306740196 + 1481478465600 = 17514^2 + 1217160^2 .

It is a super-2 number, since 2×14817852057962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 153373206 + ... + 153382866.

Almost surely, 21481785205796 is an apocalyptic number.

1481785205796 is the 1217286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481785205796

1481785205796 is an abundant number, since it is smaller than the sum of its proper divisors (3024797916861).

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

1481785205796 is an frugal number, since it uses more digits than its factorization.

1481785205796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19352 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 1481785205796 in words is "one trillion, four hundred eighty-one billion, seven hundred eighty-five million, two hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 9661 15876 19322 28983 38644 57966 67627 86949 115932 135254 173898 202881 260847 270508 347796 405762 473389 521694 608643 782541 811524 946778 1043388 1217286 1420167 1565082 1825929 1893556 2434572 2840334 3130164 3651858 4260501 5477787 5680668 7303716 8521002 10955574 12781503 17042004 21911148 25563006 38344509 51126012 76689018 93334921 153378036 186669842 280004763 373339684 560009526 653344447 840014289 1120019052 1306688894 1680028578 1960033341 2520042867 2613377788 3360057156 3920066682 4573411129 5040085734 5880100023 7560128601 7840133364 9146822258 10080171468 11760200046 13720233387 15120257202 17640300069 18293644516 23520400092 27440466774 30240514404 35280600138 41160700161 52920900207 54880933548 70561200276 82321400322 105841800414 123482100483 164642800644 211683600828 246964200966 370446301449 493928401932 740892602898 1481785205796