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109828470025248 = 25313471872416633
BaseRepresentation
bin11000111110001101101110…
…111100010010110000100000
3112101212111110220122020012020
4120332031232330102300200
5103343412201311301443
61025330300321101440
732063562605011602
oct3076155674226040
9471774426566166
10109828470025248
1131aa3aa111a387
12103995b0487880
134938a1b38b790
141d19a25001172
15ca6d558eb583
hex63e36ef12c20

109828470025248 has 96 divisors (see below), whose sum is σ = 317082522468096. Its totient is φ = 33074367387648.

The previous prime is 109828470025217. The next prime is 109828470025271. The reversal of 109828470025248 is 842520074828901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 109828470025191 and 109828470025200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936149661 + ... + 936266972.

It is an arithmetic number, because the mean of its divisors is an integer number (3302942942376).

Almost surely, 2109828470025248 is an apocalyptic number.

It is an amenable number.

109828470025248 is an abundant number, since it is smaller than the sum of its proper divisors (207254052442848).

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

109828470025248 is a wasteful number, since it uses less digits than its factorization.

109828470025248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872416706 (or 1872416698 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 109828470025248 in words is "one hundred nine trillion, eight hundred twenty-eight billion, four hundred seventy million, twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 9776 14664 19552 29328 58656 1872416633 3744833266 5617249899 7489666532 11234499798 14979333064 22468999596 24341416229 29958666128 44937999192 48682832458 59917332256 73024248687 88003581751 89875998384 97365664916 146048497374 176007163502 179751996768 194731329832 264010745253 292096994748 352014327004 389462659664 528021490506 584193989496 704028654008 778925319328 1056042981012 1144046562763 1168387978992 1408057308016 2112085962024 2288093125526 2336775957984 2816114616032 3432139688289 4224171924048 4576186251052 6864279376578 8448343848096 9152372502104 13728558753156 18304745004208 27457117506312 36609490008416 54914235012624 109828470025248