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84211351448 = 237193119113367
BaseRepresentation
bin100111001101101100…
…0110011111110011000
322001100211111220010112
41032123120303332120
52334431101221243
6102404113303452
76040556451110
oct1163330637630
9261324456115
1084211351448
1132794126824
12143a2264b88
137c30786553
14410c1c8040
1522cd091818
hex139b633f98

84211351448 has 128 divisors (see below), whose sum is σ = 197119180800. Its totient is φ = 32912438400.

The previous prime is 84211351409. The next prime is 84211351451. The reversal of 84211351448 is 84415311248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6293261 + ... + 6306627.

It is an arithmetic number, because the mean of its divisors is an integer number (1539993600).

Almost surely, 284211351448 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 84211351448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98559590400).

84211351448 is an abundant number, since it is smaller than the sum of its proper divisors (112907829352).

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

84211351448 is a wasteful number, since it uses less digits than its factorization.

84211351448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13621 (or 13617 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The spelling of 84211351448 in words is "eighty-four billion, two hundred eleven million, three hundred fifty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 191 217 248 266 382 434 532 589 764 868 1064 1178 1337 1528 1736 2356 2674 3629 4123 4712 5348 5921 7258 8246 10696 11842 13367 14516 16492 23684 25403 26734 29032 32984 41447 47368 50806 53468 82894 93569 101612 106936 112499 165788 187138 203224 224998 253973 331576 374276 414377 449996 507946 748552 787493 828754 899992 1015892 1574986 1657508 1777811 2031784 2553097 2900639 3149972 3315016 3555622 5106194 5801278 6299944 7111244 7873163 10212388 11602556 14222488 15746326 17871679 20424776 23205112 31492652 35743358 48508843 55112141 62985304 71486716 79146007 97017686 110224282 142973432 158292014 194035372 220448564 316584028 339561901 388070744 440897128 554022049 633168056 679123802 1108044098 1358247604 1503774133 2216088196 2716495208 3007548266 4432176392 6015096532 10526418931 12030193064 21052837862 42105675724 84211351448