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2978684016 = 2437117111351
BaseRepresentation
bin1011000110001011…
…0001110001110000
321200120220211022020
42301202301301300
522100020342031
61211323311440
7133546252650
oct26142616160
97616824266
102978684016
111299431430
126b167b580
13386160129
14203858360
15126783096
hexb18b1c70

2978684016 has 160 divisors (see below), whose sum is σ = 9729662976. Its totient is φ = 762720000.

The previous prime is 2978683993. The next prime is 2978684141. The reversal of 2978684016 is 6104868792.

It is a self number, because there is not a number n which added to its sum of digits gives 2978684016.

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, 256741 + ... + 268091.

Almost surely, 22978684016 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 2978684016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864831488).

2978684016 is an abundant number, since it is smaller than the sum of its proper divisors (6750978960).

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

2978684016 is a wasteful number, since it uses less digits than its factorization.

2978684016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451 (or 11445 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2978684016 is about 54577.3214439844. The cubic root of 2978684016 is about 1438.8255624725.

The spelling of 2978684016 in words is "two billion, nine hundred seventy-eight million, six hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 71 77 84 88 112 132 142 154 168 176 213 231 264 284 308 336 426 462 497 528 568 616 781 852 924 994 1136 1232 1491 1562 1704 1848 1988 2343 2982 3124 3408 3696 3976 4686 5467 5964 6248 7952 9372 10934 11351 11928 12496 16401 18744 21868 22702 23856 32802 34053 37488 43736 45404 65604 68106 79457 87472 90808 124861 131208 136212 158914 181616 238371 249722 262416 272424 317828 374583 476742 499444 544848 635656 749166 805921 874027 953484 998888 1271312 1498332 1611842 1748054 1906968 1997776 2417763 2622081 2996664 3223684 3496108 3813936 4835526 5244162 5641447 5993328 6447368 6992216 8865131 9671052 10488324 11282894 12894736 13984432 16924341 17730262 19342104 20976648 22565788 26595393 33848682 35460524 38684208 41953296 45131576 53190786 62055917 67697364 70921048 90263152 106381572 124111834 135394728 141842096 186167751 212763144 248223668 270789456 372335502 425526288 496447336 744671004 992894672 1489342008 2978684016