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6482148984 = 23331911291399
BaseRepresentation
bin1100000100101110…
…11011111001111000
3121201202022021202000
412002113123321320
5101233412231414
62551114541000
7316430233353
oct60227337170
917652267660
106482148984
112827005523
12130aa37760
137c3c4091c
14456c7929a
1527e126b09
hex1825dbe78

6482148984 has 128 divisors (see below), whose sum is σ = 18984000000. Its totient is φ = 2043719424.

The previous prime is 6482148971. The next prime is 6482148997. The reversal of 6482148984 is 4898412846.

It is a happy number.

6482148984 is a `hidden beast` number, since 6 + 4 + 82 + 1 + 489 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (6482148971) and next prime (6482148997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6482148984.

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, 4632717 + ... + 4634115.

It is an arithmetic number, because the mean of its divisors is an integer number (148312500).

Almost surely, 26482148984 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 6482148984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492000000).

6482148984 is an abundant number, since it is smaller than the sum of its proper divisors (12501851016).

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

6482148984 is a wasteful number, since it uses less digits than its factorization.

6482148984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2552 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 6482148984 is about 80511.7940677017. The cubic root of 6482148984 is about 1864.5455731688.

The spelling of 6482148984 in words is "six billion, four hundred eighty-two million, one hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1129 1368 1399 2052 2258 2798 3387 4104 4197 4516 5596 6774 8394 9032 10161 11192 12591 13548 16788 20322 21451 25182 26581 27096 30483 33576 37773 40644 42902 50364 53162 60966 64353 75546 79743 81288 85804 100728 106324 121932 128706 151092 159486 171608 193059 212648 239229 243864 257412 302184 318972 386118 478458 514824 579177 637944 717687 772236 956916 1158354 1435374 1544472 1579471 1913832 2316708 2870748 3158942 4633416 4738413 5741496 6317884 9476826 12635768 14215239 18953652 28430478 30009949 37907304 42645717 56860956 60019898 85291434 90029847 113721912 120039796 170582868 180059694 240079592 270089541 341165736 360119388 540179082 720238776 810268623 1080358164 1620537246 2160716328 3241074492 6482148984