Search a number
-
+
4663761406336 = 27167487448003
BaseRepresentation
bin100001111011101110111…
…0101111000100110000000
3121111211222112212210122101
41003313131311320212000
51102402340410000321
613530300304320144
7660642232605064
oct103673565704600
917454875783571
104663761406336
1115389878034aa
12633a50313054
1327aa38556b36
14121a2783daa4
15814ad8c1791
hex43dddd78980

4663761406336 has 64 divisors (see below), whose sum is σ = 9365935783680. Its totient is φ = 2313152598528.

The previous prime is 4663761406321. The next prime is 4663761406387. The reversal of 4663761406336 is 6336041673664.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10186111 + ... + 10634113.

It is an arithmetic number, because the mean of its divisors is an integer number (146342746620).

Almost surely, 24663761406336 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 4663761406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682967891840).

4663761406336 is an abundant number, since it is smaller than the sum of its proper divisors (4702174377344).

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

4663761406336 is a wasteful number, since it uses less digits than its factorization.

4663761406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448671 (or 448659 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 55.

The spelling of 4663761406336 in words is "four trillion, six hundred sixty-three billion, seven hundred sixty-one million, four hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 167 334 487 668 974 1336 1948 2672 3896 5344 7792 10688 15584 21376 31168 62336 81329 162658 325316 448003 650632 896006 1301264 1792012 2602528 3584024 5205056 7168048 10410112 14336096 28672192 57344384 74816501 149633002 218177461 299266004 436354922 598532008 872709844 1197064016 1745419688 2394128032 3490839376 4788256064 6981678752 9576512128 13963357504 27926715008 36435635987 72871271974 145742543948 291485087896 582970175792 1165940351584 2331880703168 4663761406336