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2981471934 = 237317312749
BaseRepresentation
bin1011000110110101…
…1010011010111110
321200210011110121110
42301231122122332
522101224100214
61211503142450
7133612044000
oct26155323276
97623143543
102981471934
11129aa65aa1
126b25a4a26
133868c809c
14203d82370
15126b34159
hexb1b5a6be

2981471934 has 128 divisors (see below), whose sum is σ = 7603200000. Its totient is φ = 775595520.

The previous prime is 2981471923. The next prime is 2981471959. The reversal of 2981471934 is 4391741892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1083192 + ... + 1085940.

It is an arithmetic number, because the mean of its divisors is an integer number (59400000).

Almost surely, 22981471934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981471934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801600000).

2981471934 is an abundant number, since it is smaller than the sum of its proper divisors (4621728066).

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

2981471934 is a wasteful number, since it uses less digits than its factorization.

2981471934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2809 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 2981471934 is about 54602.8564637419. The cubic root of 2981471934 is about 1439.2743151025.

The spelling of 2981471934 in words is "two billion, nine hundred eighty-one million, four hundred seventy-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 49 51 62 93 98 102 119 147 186 217 238 294 343 357 434 527 651 686 714 833 1029 1054 1302 1519 1581 1666 2058 2499 2749 3038 3162 3689 4557 4998 5498 5831 7378 8247 9114 10633 11067 11662 16494 17493 19243 21266 22134 25823 31899 34986 38486 46733 51646 57729 63798 77469 85219 93466 115458 134701 140199 154938 170438 180761 255657 269402 280398 327131 361522 404103 511314 542283 596533 654262 808206 942907 981393 1084566 1193066 1448723 1789599 1885814 1962786 2289917 2828721 2897446 3579198 4175731 4346169 4579834 5657442 6869751 8351462 8692338 10141061 12527193 13739502 16029419 20282122 25054386 29230117 30423183 32058838 48088257 58460234 60846366 70987427 87690351 96176514 141974854 175380702 212962281 425924562 496911989 993823978 1490735967 2981471934