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6400066716 = 223391964483
BaseRepresentation
bin1011111010111100…
…10100010010011100
3121112000212002001000
411331132110102130
5101101404113331
62535023350300
7314412445431
oct57536242234
917460762030
106400066716
11279474193a
1212a7452390
137acc31834
14449dcdb88
15276d110e6
hex17d79449c

6400066716 has 48 divisors (see below), whose sum is σ = 16611078400. Its totient is φ = 2131001136.

The previous prime is 6400066703. The next prime is 6400066763. The reversal of 6400066716 is 6176600046.

6400066716 is a `hidden beast` number, since 640 + 0 + 0 + 6 + 6 + 7 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67011 + ... + 131493.

Almost surely, 26400066716 is an apocalyptic number.

It is an amenable number.

6400066716 is an abundant number, since it is smaller than the sum of its proper divisors (10211011684).

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

6400066716 is a wasteful number, since it uses less digits than its factorization.

6400066716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65415 (or 65407 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6400066716 is about 80000.4169739133. The cubic root of 6400066716 is about 1856.6419848444.

The spelling of 6400066716 in words is "six billion, four hundred million, sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 919 1838 2757 3676 5514 8271 11028 16542 24813 33084 49626 64483 99252 128966 193449 257932 386898 580347 773796 1160694 1741041 2321388 3482082 6964164 59259877 118519754 177779631 237039508 355559262 533338893 711118524 1066677786 1600016679 2133355572 3200033358 6400066716