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645655661084448 = 25327107227973247
BaseRepresentation
bin1001001011001110000110110…
…0010100110111111100100000
310010200002002010010221102111100
42102303201230110313330200
51134111410243214200243
610205110041013514400
7252666040114335240
oct22263415424677440
93120062103842440
10645655661084448
111777a9034523703
12604b8486642a00
13219360b5659771
14b561c8788db20
154e99ebad0c0d3
hex24b386c537f20

645655661084448 has 216 divisors, whose sum is σ = 2118175291395072. Its totient is φ = 182748992332032.

The previous prime is 645655661084437. The next prime is 645655661084449. The reversal of 645655661084448 is 844480166556546.

645655661084448 is a `hidden beast` number, since 6 + 4 + 5 + 6 + 5 + 566 + 10 + 8 + 4 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (645655661084449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9094561 + ... + 37067807.

It is an arithmetic number, because the mean of its divisors is an integer number (9806367089792).

Almost surely, 2645655661084448 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 645655661084448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059087645697536).

645655661084448 is an abundant number, since it is smaller than the sum of its proper divisors (1472519630310624).

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

645655661084448 is a wasteful number, since it uses less digits than its factorization.

645655661084448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27973484 (or 27973366 counting only the distinct ones).

The product of its (nonzero) digits is 2654208000, while the sum is 72.

The spelling of 645655661084448 in words is "six hundred forty-five trillion, six hundred fifty-five billion, six hundred sixty-one million, eighty-four thousand, four hundred forty-eight".