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2978984656 = 242357114177
BaseRepresentation
bin1011000110001111…
…1011001011010000
321200121111002201001
42301203323023100
522100110002111
61211333551344
7133551644314
oct26143731320
97617432631
102978984656
11129961729a
126b17a5554
13386236c1b
142038d5b44
151267e21c1
hexb18fb2d0

2978984656 has 40 divisors (see below), whose sum is σ = 6033703104. Its totient is φ = 1422136320.

The previous prime is 2978984627. The next prime is 2978984713. The reversal of 2978984656 is 6564898792.

2978984656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203040 + ... + 217216.

Almost surely, 22978984656 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 2978984656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016851552).

2978984656 is an abundant number, since it is smaller than the sum of its proper divisors (3054718448).

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

2978984656 is a wasteful number, since it uses less digits than its factorization.

2978984656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14773 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 64.

The square root of 2978984656 is about 54580.0756320473. The cubic root of 2978984656 is about 1438.8739679610.

The spelling of 2978984656 in words is "two billion, nine hundred seventy-eight million, nine hundred eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 571 1142 2284 4568 9136 13133 14177 26266 28354 52532 56708 105064 113416 210128 226832 326071 652142 1304284 2608568 5217136 8095067 16190134 32380268 64760536 129521072 186186541 372373082 744746164 1489492328 2978984656