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84821894864 = 24719414092377
BaseRepresentation
bin100111011111111000…
…1110110011011010000
322002221101100201020122
41032333301312123100
52342203401113424
6102544443325412
76061652132060
oct1167761663320
9262841321218
1084821894864
1132a77826063
1214532820868
137cca104145
1441693173a0
15231699345e
hex13bfc766d0

84821894864 has 160 divisors (see below), whose sum is σ = 203107833600. Its totient is φ = 33502740480.

The previous prime is 84821894863. The next prime is 84821894869. The reversal of 84821894864 is 46849812848.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84821894797 and 84821894806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84821894863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35683244 + ... + 35685620.

It is an arithmetic number, because the mean of its divisors is an integer number (1269423960).

Almost surely, 284821894864 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 84821894864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101553916800).

84821894864 is an abundant number, since it is smaller than the sum of its proper divisors (118285938736).

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

84821894864 is a wasteful number, since it uses less digits than its factorization.

84821894864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2855 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 62.

The spelling of 84821894864 in words is "eighty-four billion, eight hundred twenty-one million, eight hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 41 56 76 82 112 133 152 164 266 287 304 328 409 532 574 656 779 818 1064 1148 1558 1636 2128 2296 2377 2863 3116 3272 4592 4754 5453 5726 6232 6544 7771 9508 10906 11452 12464 15542 16639 16769 19016 21812 22904 31084 33278 33538 38032 43624 45163 45808 54397 62168 66556 67076 87248 90326 97457 108794 117383 124336 133112 134152 180652 194914 217588 234766 266224 268304 316141 318611 361304 389828 435176 469532 632282 637222 682199 722608 779656 870352 939064 972193 1264564 1274444 1364398 1559312 1851683 1878128 1944386 2230277 2529128 2548888 2728796 3703366 3888772 4460554 5058256 5097776 5457592 6805351 7406732 7777544 8921108 10915184 12961781 13610702 14813464 15555088 17842216 18471667 25923562 27221404 29626928 35684432 36943334 39859913 51847124 54442808 73886668 79719826 103694248 108885616 129301669 147773336 159439652 207388496 258603338 279019391 295546672 318879304 517206676 558038782 637758608 757338347 1034413352 1116077564 1514676694 2068826704 2232155128 3029353388 4464310256 5301368429 6058706776 10602736858 12117413552 21205473716 42410947432 84821894864