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108944884624 = 241924321012
BaseRepresentation
bin110010101110110011…
…1110000001110010000
3101102012120000120011211
41211131213300032100
53241104342301444
6122014254545504
710604520145222
oct1453547601620
9342176016154
10108944884624
1142226602334
1219145508294
13a372a33194
1453b700a412
152c7967ac34
hex195d9f0390

108944884624 has 135 divisors (see below), whose sum is σ = 230356771569. Its totient is φ = 49906281600.

The previous prime is 108944884621. The next prime is 108944884637. The reversal of 108944884624 is 426488449801.

The square root of 108944884624 is 330068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 104672955024 + 4271929600 = 323532^2 + 65360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108944884621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1078662174 + ... + 1078662274.

Almost surely, 2108944884624 is an apocalyptic number.

108944884624 is the 330068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108944884624

108944884624 is an abundant number, since it is smaller than the sum of its proper divisors (121411886945).

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

108944884624 is an equidigital number, since it uses as much as digits as its factorization.

108944884624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 58.

The spelling of 108944884624 in words is "one hundred eight billion, nine hundred forty-four million, eight hundred eighty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 43 76 86 101 152 172 202 304 344 361 404 688 722 808 817 1444 1616 1634 1849 1919 2888 3268 3698 3838 4343 5776 6536 7396 7676 8686 10201 13072 14792 15352 15523 17372 20402 29584 30704 31046 34744 35131 36461 40804 62092 69488 70262 72922 81608 82517 124184 140524 145844 163216 165034 186749 193819 248368 281048 291688 330068 373498 387638 438643 562096 583376 660136 667489 746996 775276 877286 1320272 1334978 1493992 1550552 1567823 1754572 2669956 2987984 3101104 3135646 3509144 3548231 3682561 5339912 6271292 7018288 7096462 7365122 8334217 10679824 12542584 14192924 14730244 16668434 18861649 25085168 28385848 29460488 33336868 37723298 56771696 58920976 66673736 67416389 75446596 133347472 134832778 150893192 158350123 269665556 301786384 316700246 358371331 539331112 633400492 716742662 1078662224 1266800984 1433485324 2533601968 2866970648 5733941296 6809055289 13618110578 27236221156 54472442312 108944884624