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2084686912 = 267111093881
BaseRepresentation
bin111110001000001…
…1100110001000000
312101021201001211101
41330100130301000
513232134440122
6542510024144
7102442355260
oct17420346100
95337631741
102084686912
1197a82a150
124a21a8054
13272b88b69
1415ac217a0
15c3040027
hex7c41cc40

2084686912 has 112 divisors (see below), whose sum is σ = 5206227840. Its totient is φ = 804556800.

The previous prime is 2084686909. The next prime is 2084686921. The reversal of 2084686912 is 2196864802.

It is a tau number, because it is divible by the number of its divisors (112).

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, 535212 + ... + 539092.

Almost surely, 22084686912 is an apocalyptic number.

2084686912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603113920).

2084686912 is an abundant number, since it is smaller than the sum of its proper divisors (3121540928).

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

2084686912 is a wasteful number, since it uses less digits than its factorization.

2084686912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 2084686912 is about 45658.3717624709. The cubic root of 2084686912 is about 1277.4589301329.

The spelling of 2084686912 in words is "two billion, eighty-four million, six hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 109 112 154 176 218 224 308 352 436 448 616 704 763 872 1199 1232 1526 1744 2398 2464 3052 3488 3881 4796 4928 6104 6976 7762 8393 9592 12208 15524 16786 19184 24416 27167 31048 33572 38368 42691 48832 54334 62096 67144 76736 85382 108668 124192 134288 170764 217336 248384 268576 298837 341528 423029 434672 537152 597674 683056 846058 869344 1195348 1366112 1692116 1738688 2390696 2732224 2961203 3384232 4653319 4781392 5922406 6768464 9306638 9562784 11844812 13536928 18613276 19125568 23689624 27073856 32573233 37226552 47379248 65146466 74453104 94758496 130292932 148906208 189516992 260585864 297812416 521171728 1042343456 2084686912