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2944496984 = 23111323472381
BaseRepresentation
bin1010111110000001…
…0111010101011000
321121012120221111212
42233200113111120
522012242400414
61204102442252
7132652545212
oct25740272530
97535527455
102944496984
111281101190
126a2133388
1337c050410
141dd0b95b2
1512377d83e
hexaf817558

2944496984 has 128 divisors (see below), whose sum is σ = 6915041280. Its totient is φ = 1156108800.

The previous prime is 2944496977. The next prime is 2944496987. The reversal of 2944496984 is 4896944492.

2944496984 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 not an unprimeable number, because it can be changed into a prime (2944496987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235474 + ... + 1237854.

It is an arithmetic number, because the mean of its divisors is an integer number (54023760).

Almost surely, 22944496984 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 2944496984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457520640).

2944496984 is an abundant number, since it is smaller than the sum of its proper divisors (3970544296).

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

2944496984 is a wasteful number, since it uses less digits than its factorization.

2944496984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2477 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 59.

The square root of 2944496984 is about 54263.2194400590. The cubic root of 2944496984 is about 1433.2997923045.

The spelling of 2944496984 in words is "two billion, nine hundred forty-four million, four hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 47 52 88 92 94 104 143 184 188 253 286 299 376 506 517 572 598 611 1012 1034 1081 1144 1196 1222 2024 2068 2162 2381 2392 2444 3289 4136 4324 4762 4888 6578 6721 8648 9524 11891 13156 13442 14053 19048 23782 26191 26312 26884 28106 30953 47564 52382 53768 54763 56212 61906 95128 104764 109526 111907 112424 123812 154583 209528 219052 223814 247624 309166 340483 438104 447628 602393 618332 680966 711919 895256 1204786 1230977 1236664 1361932 1423838 1454791 2409572 2461954 2573861 2723864 2847676 2909582 4819144 4923908 5147722 5695352 5819164 7831109 9847816 10295444 11638328 15662218 16002701 20590888 28312471 31324436 32005402 33460193 56624942 62648872 64010804 66920386 113249884 128021608 133840772 226499768 267681544 368062123 736124246 1472248492 2944496984