Search a number
-
+
4944333680 = 24511133711681
BaseRepresentation
bin1001001101011010…
…01000101101110000
3110202120122011201122
410212231020231300
540111222134210
62134342121412
7233345066666
oct44655105560
913676564648
104944333680
112107a47090
12b5ba20268
1360a46b340
1434c930c36
151de10cb55
hex126b48b70

4944333680 has 160 divisors (see below), whose sum is σ = 13871487168. Its totient is φ = 1614643200.

The previous prime is 4944333673. The next prime is 4944333697. The reversal of 4944333680 is 863334494.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417440 + ... + 429120.

Almost surely, 24944333680 is an apocalyptic number.

4944333680 is a gapful number since it is divisible by the number (40) 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 4944333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935743584).

4944333680 is an abundant number, since it is smaller than the sum of its proper divisors (8927153488).

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

4944333680 is a wasteful number, since it uses less digits than its factorization.

4944333680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11755 (or 11749 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The square root of 4944333680 is about 70315.9560839501. The cubic root of 4944333680 is about 1703.6063786234.

The spelling of 4944333680 in words is "four billion, nine hundred forty-four million, three hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 44 52 55 65 74 80 88 104 110 130 143 148 176 185 208 220 260 286 296 370 407 440 481 520 572 592 715 740 814 880 962 1040 1144 1430 1480 1628 1924 2035 2288 2405 2860 2960 3256 3848 4070 4810 5291 5720 6512 7696 8140 9620 10582 11440 11681 16280 19240 21164 23362 26455 32560 38480 42328 46724 52910 58405 84656 93448 105820 116810 128491 151853 186896 211640 233620 256982 303706 423280 432197 467240 513964 607412 642455 759265 864394 934480 1027928 1214824 1284910 1518530 1670383 1728788 2055856 2160985 2429648 2569820 3037060 3340766 3457576 4321970 4754167 5139640 5618561 6074120 6681532 6915152 8351915 8643940 9508334 10279280 11237122 12148240 13363064 16703830 17287880 19016668 22474244 23770835 26726128 28092805 33407660 34575760 38033336 44948488 47541670 56185610 61804171 66815320 76066672 89896976 95083340 112371220 123608342 133630640 190166680 224742440 247216684 309020855 380333360 449484880 494433368 618041710 988866736 1236083420 2472166840 4944333680