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4821002001284 = 2271934988129473
BaseRepresentation
bin100011000100111101000…
…0111001001101110000100
3122001212211220210122112012
41012021322013021232010
51112441403003020114
614130423204113352
71005206631606440
oct106117207115604
918055756718465
104821002001284
111599636a45817
1265a413995858
1328c806c0aab1
141294a2a99820
1585612e9263e
hex4627a1c9b84

4821002001284 has 96 divisors (see below), whose sum is σ = 10190458656000. Its totient is φ = 1949509140480.

The previous prime is 4821002001253. The next prime is 4821002001337.

4821002001284 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4821002001284.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163558772 + ... + 163588244.

It is an arithmetic number, because the mean of its divisors is an integer number (106150611000).

Almost surely, 24821002001284 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 4821002001284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095229328000).

4821002001284 is an abundant number, since it is smaller than the sum of its proper divisors (5369456654716).

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

4821002001284 is a wasteful number, since it uses less digits than its factorization.

4821002001284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30733 (or 30731 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 4821002001284 in words is "four trillion, eight hundred twenty-one billion, two million, one thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 349 532 698 881 1396 1762 2443 3524 4886 6167 6631 9772 12334 13262 16739 24668 26524 29473 33478 46417 58946 66956 92834 117173 117892 185668 206311 234346 307469 412622 468692 559987 614938 825244 1119974 1229876 2152283 2239948 3919909 4304566 5841911 7839818 8609132 10286077 11683822 15679636 20572154 23367644 25965713 40893377 41144308 51931426 72002539 81786754 103862852 144005078 163573508 181759991 195435463 288010156 363519982 390870926 493348547 727039964 781741852 986697094 1368048241 1973394188 2736096482 3453439829 5472192964 6906879658 9062033837 13813759316 18124067674 36248135348 63434236859 126868473718 172178642903 253736947436 344357285806 688714571612 1205250500321 2410501000642 4821002001284