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2985094416 = 243676311471
BaseRepresentation
bin1011000111101100…
…1110110100010000
321201000222111201110
42301323032310100
522103141010131
61212112533320
7133654612113
oct26173166420
97630874643
102985094416
1112a200a687
126b3851240
13387595b75
1420464657a
151270ec646
hexb1eced10

2985094416 has 80 divisors (see below), whose sum is σ = 7844323328. Its totient is φ = 977961600.

The previous prime is 2985094373. The next prime is 2985094423. The reversal of 2985094416 is 6144905892.

2985094416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2028561 + ... + 2030031.

Almost surely, 22985094416 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 2985094416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922161664).

2985094416 is an abundant number, since it is smaller than the sum of its proper divisors (4859228912).

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

2985094416 is a wasteful number, since it uses less digits than its factorization.

2985094416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2985094416 is about 54636.0175708296. The cubic root of 2985094416 is about 1439.8569842534.

The spelling of 2985094416 in words is "two billion, nine hundred eighty-five million, ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 631 804 1072 1262 1471 1608 1893 2524 2942 3216 3786 4413 5048 5884 7572 8826 10096 11768 15144 17652 23536 30288 35304 42277 70608 84554 98557 126831 169108 197114 253662 295671 338216 394228 507324 591342 676432 788456 928201 1014648 1182684 1576912 1856402 2029296 2365368 2784603 3712804 4730736 5569206 7425608 11138412 14851216 22276824 44553648 62189467 124378934 186568401 248757868 373136802 497515736 746273604 995031472 1492547208 2985094416