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4944718944 = 2532115872659
BaseRepresentation
bin1001001101011101…
…00110110001100000
3110202121100202012200
410212232212301200
540111322001234
62134354253200
7233351263134
oct44656466140
913677322180
104944718944
11210818a590
12b5bb87200
1360a5747c9
1434c9d13c4
151de186d99
hex126ba6c60

4944718944 has 144 divisors (see below), whose sum is σ = 15371778240. Its totient is φ = 1495284480.

The previous prime is 4944718939. The next prime is 4944718993. The reversal of 4944718944 is 4498174494.

It is a happy number.

4944718944 is a `hidden beast` number, since 4 + 94 + 471 + 89 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858287 + ... + 1860945.

It is an arithmetic number, because the mean of its divisors is an integer number (106748460).

Almost surely, 24944718944 is an apocalyptic number.

4944718944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4944718944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685889120).

4944718944 is an abundant number, since it is smaller than the sum of its proper divisors (10427059296).

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

4944718944 is a wasteful number, since it uses less digits than its factorization.

4944718944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3262 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4944718944 is about 70318.6955510410. The cubic root of 4944718944 is about 1703.6506259851.

The spelling of 4944718944 in words is "four billion, nine hundred forty-four million, seven hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 587 792 1056 1174 1584 1761 2348 2659 3168 3522 4696 5283 5318 6457 7044 7977 9392 10566 10636 12914 14088 15954 18784 19371 21132 21272 23931 25828 28176 29249 31908 38742 42264 42544 47862 51656 56352 58113 58498 63816 77484 84528 85088 87747 95724 103312 116226 116996 127632 154968 169056 175494 191448 206624 232452 233992 255264 263241 309936 350988 382896 464904 467984 526482 619872 701976 765792 929808 935968 1052964 1403952 1560833 1859616 2105928 2807904 3121666 4211856 4682499 6243332 8423712 9364998 12486664 14047497 17169163 18729996 24973328 28094994 34338326 37459992 49946656 51507489 56189988 68676652 74919984 103014978 112379976 137353304 149839968 154522467 206029956 224759952 274706608 309044934 412059912 449519904 549413216 618089868 824119824 1236179736 1648239648 2472359472 4944718944