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655268956160 = 21157313113127
BaseRepresentation
bin10011000100100010001…
…00101100100000000000
32022122100211010221011112
421202101010230200000
541213442323044120
61221005411502452
765225114141000
oct11422104544000
92278324127145
10655268956160
11232997274375
12a6bb42b7a28
1349a3a1a7770
1423a02688000
15120a2094bc5
hex989112c800

655268956160 has 768 divisors, whose sum is σ = 2007742464000. Its totient is φ = 203928109056.

The previous prime is 655268956159. The next prime is 655268956187. The reversal of 655268956160 is 61659862556.

It is a self number, because there is not a number n which added to its sum of digits gives 655268956160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5159598017 + ... + 5159598143.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248000).

Almost surely, 2655268956160 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 655268956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232000).

655268956160 is an abundant number, since it is smaller than the sum of its proper divisors (1352473507840).

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

655268956160 is a wasteful number, since it uses less digits than its factorization.

655268956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 59.

The spelling of 655268956160 in words is "six hundred fifty-five billion, two hundred sixty-eight million, nine hundred fifty-six thousand, one hundred sixty".