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448712632830 = 235721127749699
BaseRepresentation
bin1101000011110010101…
…10110110100111111110
31120220012112222111212010
412201321112312213332
524322430413222310
6542045152552050
744263342306500
oct6417126664776
91526175874763
10448712632830
11163330646440
1272b68b52626
133340c777137
1417a0993dd70
15ba13246320
hex68795b69fe

448712632830 has 96 divisors (see below), whose sum is σ = 1366617225600. Its totient is φ = 93238985280.

The previous prime is 448712632811. The next prime is 448712632843. The reversal of 448712632830 is 38236217844.

It is a super-2 number, since 2×4487126328302 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 448712632830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13858680 + ... + 13891019.

It is an arithmetic number, because the mean of its divisors is an integer number (14235596100).

Almost surely, 2448712632830 is an apocalyptic number.

448712632830 is an abundant number, since it is smaller than the sum of its proper divisors (917904592770).

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

448712632830 is a wasteful number, since it uses less digits than its factorization.

448712632830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27749734 (or 27749727 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 448712632830 in words is "four hundred forty-eight billion, seven hundred twelve million, six hundred thirty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 16170 27749699 55499398 83249097 138748495 166498194 194247893 277496990 305246689 388495786 416245485 582743679 610493378 832490970 915740067 971239465 1165487358 1359735251 1526233445 1831480134 1942478930 2136726823 2719470502 2913718395 3052466890 4079205753 4273453646 4578700335 5827436790 6410180469 6798676255 8158411506 9157400670 10683634115 12820360938 13597352510 14957087761 20396028765 21367268230 29914175522 32050902345 40792057530 44871263283 64101804690 74785438805 89742526566 149570877610 224356316415 448712632830