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106661705472 = 283372204483
BaseRepresentation
bin110001101010110001…
…0000111011100000000
3101012022102211001012000
41203111202013130000
53221420344033342
6120555534304000
710464114352230
oct1432542073400
9335272731160
10106661705472
1141264830013
1218808958000
13a09a9ca3ba
14523bab9cc0
152b93ecd44c
hex18d5887700

106661705472 has 144 divisors (see below), whose sum is σ = 360477223680. Its totient is φ = 30474759168.

The previous prime is 106661705453. The next prime is 106661705537. The reversal of 106661705472 is 274507166601.

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

It is a super-2 number, since 2×1066617054722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053858 + ... + 1150625.

Almost surely, 2106661705472 is an apocalyptic number.

106661705472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106661705472 is an abundant number, since it is smaller than the sum of its proper divisors (253815518208).

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

106661705472 is an equidigital number, since it uses as much as digits as its factorization.

106661705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204515 (or 2204495 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 106661705472 in words is "one hundred six billion, six hundred sixty-one million, seven hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 2204483 4408966 6613449 8817932 13226898 15431381 17635864 19840347 26453796 30862762 35271728 39680694 46294143 52907592 59521041 61725524 70543456 79361388 92588286 105815184 119042082 123451048 138882429 141086912 158722776 185176572 211630368 238084164 246902096 277764858 282173824 317445552 370353144 416647287 423260736 476168328 493804192 555529716 564347648 634891104 740706288 833294574 846521472 952336656 987608384 1111059432 1269782208 1481412576 1666589148 1693042944 1904673312 1975216768 2222118864 2539564416 2962825152 3333178296 3809346624 3950433536 4444237728 5079128832 5925650304 6666356592 7618693248 8888475456 11851300608 13332713184 15237386496 17776950912 26665426368 35553901824 53330852736 106661705472