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444097028608 = 2917223228799
BaseRepresentation
bin1100111011001100011…
…11101110001000000000
31120110021212220112011121
412131212033232020000
524234002314403413
6540003152322024
744041065313432
oct6354617561000
91513255815147
10444097028608
111613822166a2
127209b243314
1332b5545548c
14176cc940652
15b842e1eb8d
hex67663ee200

444097028608 has 80 divisors (see below), whose sum is σ = 943739596800. Its totient is φ = 208048766976.

The previous prime is 444097028597. The next prime is 444097028629. The reversal of 444097028608 is 806820790444.

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, 1826593 + ... + 2055391.

It is an arithmetic number, because the mean of its divisors is an integer number (11796744960).

Almost surely, 2444097028608 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 444097028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471869798400).

444097028608 is an abundant number, since it is smaller than the sum of its proper divisors (499642568192).

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

444097028608 is a wasteful number, since it uses less digits than its factorization.

444097028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229057 (or 229041 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 444097028608 in words is "four hundred forty-four billion, ninety-seven million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 223 256 272 446 512 544 892 1088 1784 2176 3568 3791 4352 7136 7582 8704 14272 15164 28544 30328 57088 60656 114176 121312 228799 242624 457598 485248 915196 970496 1830392 1940992 3660784 3889583 7321568 7779166 14643136 15558332 29286272 31116664 51022177 58572544 62233328 102044354 117145088 124466656 204088708 248933312 408177416 497866624 816354832 867377009 995733248 1632709664 1734754018 1991466496 3265419328 3469508036 6530838656 6939016072 13061677312 13878032144 26123354624 27756064288 55512128576 111024257152 222048514304 444097028608