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84990819584 = 2811434331621
BaseRepresentation
bin100111100100111011…
…0001111110100000000
322010101011012222101202
41033021312033310000
52343030122211314
6103013320120332
76066103022006
oct1171166176400
9263334188352
1084990819584
1133054113770
121457b3060a8
1380260cabb8
14418392aa76
1523267100de
hex13c9d8fd00

84990819584 has 144 divisors (see below), whose sum is σ = 189930801984. Its totient is φ = 37623398400.

The previous prime is 84990819577. The next prime is 84990819607. The reversal of 84990819584 is 48591809948.

It is a self number, because there is not a number n which added to its sum of digits gives 84990819584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52430294 + ... + 52431914.

Almost surely, 284990819584 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 84990819584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94965400992).

84990819584 is an abundant number, since it is smaller than the sum of its proper divisors (104939982400).

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

84990819584 is a wasteful number, since it uses less digits than its factorization.

84990819584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 65.

The spelling of 84990819584 in words is "eighty-four billion, nine hundred ninety million, eight hundred nineteen thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 433 473 688 704 866 946 1376 1408 1621 1732 1892 2752 2816 3242 3464 3784 4763 5504 6484 6928 7568 9526 11008 12968 13856 15136 17831 18619 19052 25936 27712 30272 35662 37238 38104 51872 55424 60544 69703 71324 74476 76208 103744 110848 121088 139406 142648 148952 152416 204809 207488 278812 285296 297904 304832 409618 414976 557624 570592 595808 609664 701893 766733 819236 1115248 1141184 1191616 1219328 1403786 1533466 1638472 2230496 2282368 2383232 2807572 3066932 3276944 4460992 4564736 4766464 5615144 6133864 6553888 7720823 8921984 11230288 12267728 13107776 15441646 17843968 22460576 24535456 26215552 30181399 30883292 44921152 49070912 52431104 60362798 61766584 89842304 98141824 120725596 123533168 179684608 196283648 241451192 247066336 331995389 482902384 494132672 663990778 965804768 988265344 1327981556 1931609536 1976530688 2655963112 3863219072 5311926224 7726438144 10623852448 21247704896 42495409792 84990819584