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2631716064 = 253220534451
BaseRepresentation
bin1001110011011100…
…1100110011100000
320210102001000202100
42130313030303200
520342204403224
61113050450400
7122134134405
oct23467146340
96712030670
102631716064
11113059825a
12615433a00
1332c2c9053
141ad73a2ac
15106097ac9
hex9cdccce0

2631716064 has 72 divisors (see below), whose sum is σ = 7489270152. Its totient is φ = 876614400.

The previous prime is 2631715997. The next prime is 2631716069. The reversal of 2631716064 is 4606171362.

It is a happy number.

2631716064 is a `hidden beast` number, since 2 + 631 + 7 + 16 + 0 + 6 + 4 = 666.

2631716064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631716069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589039 + ... + 593489.

It is an arithmetic number, because the mean of its divisors is an integer number (104017641).

Almost surely, 22631716064 is an apocalyptic number.

2631716064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2631716064 is an abundant number, since it is smaller than the sum of its proper divisors (4857554088).

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

2631716064 is a wasteful number, since it uses less digits than its factorization.

2631716064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6509 counting only the distinct ones).

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

The square root of 2631716064 is about 51300.2540344587. The cubic root of 2631716064 is about 1380.6375378106.

The spelling of 2631716064 in words is "two billion, six hundred thirty-one million, seven hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2053 4106 4451 6159 8212 8902 12318 13353 16424 17804 18477 24636 26706 32848 35608 36954 40059 49272 53412 65696 71216 73908 80118 98544 106824 142432 147816 160236 197088 213648 295632 320472 427296 591264 640944 1281888 9137903 18275806 27413709 36551612 54827418 73103224 82241127 109654836 146206448 164482254 219309672 292412896 328964508 438619344 657929016 877238688 1315858032 2631716064