Search a number
-
+
3405929820552 = 233272965399609
BaseRepresentation
bin110001100100000001001…
…111001011000110001000
3110001121022002211202000100
4301210001033023012020
5421300321013224202
611124355040205400
7501033054541500
oct61440117130610
913047262752010
103405929820552
1110a34a0656016
12470113009860
131b92408348ac
14babc283aa00
155d8e1a1141c
hex319013cb188

3405929820552 has 72 divisors (see below), whose sum is σ = 10730416665150. Its totient is φ = 973122804864.

The previous prime is 3405929820499. The next prime is 3405929820583. The reversal of 3405929820552 is 2550289295043.

It is a happy number.

3405929820552 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 9 + 2 + 9 + 82 + 0 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2863046738916 + 542883081636 = 1692054^2 + 736806^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 482696277 + ... + 482703332.

Almost surely, 23405929820552 is an apocalyptic number.

It is an amenable number.

3405929820552 is an abundant number, since it is smaller than the sum of its proper divisors (7324486844598).

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

3405929820552 is a wasteful number, since it uses less digits than its factorization.

3405929820552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965399635 (or 965399621 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 3405929820552 in words is "three trillion, four hundred five billion, nine hundred twenty-nine million, eight hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 965399609 1930799218 2896198827 3861598436 5792397654 6757797263 7723196872 8688596481 11584795308 13515594526 17377192962 20273391789 23169590616 27031189052 34754385924 40546783578 47304580841 54062378104 60820175367 69508771848 81093567156 94609161682 121640350734 141913742523 162187134312 189218323364 243280701468 283827485046 378436646728 425741227569 486561402936 567654970092 851482455138 1135309940184 1702964910276 3405929820552