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5680226112096 = 253101602997169
BaseRepresentation
bin101001010101000011111…
…0111000001001001100000
3202010000122201112221101110
41102222013313001021200
51221031100341041341
620025243154503320
71124245204212534
oct122520767011140
922100581487343
105680226112096
11189aa74614538
12778a48294b40
13322848954003
14158cd2823bc4
159cb50824216
hex52a87dc1260

5680226112096 has 96 divisors (see below), whose sum is σ = 15060875810400. Its totient is φ = 1874331852800.

The previous prime is 5680226112089. The next prime is 5680226112097. The reversal of 5680226112096 is 6902116220865.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5680226112097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58408600 + ... + 58505768.

It is an arithmetic number, because the mean of its divisors is an integer number (156884123025).

Almost surely, 25680226112096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5680226112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530437905200).

5680226112096 is an abundant number, since it is smaller than the sum of its proper divisors (9380649698304).

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

5680226112096 is a wasteful number, since it uses less digits than its factorization.

5680226112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103312 (or 103304 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 5680226112096 in words is "five trillion, six hundred eighty billion, two hundred twenty-six million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 6029 9696 12058 18087 24116 36174 48232 72348 96464 97169 144696 192928 194338 289392 291507 388676 578784 583014 608929 777352 1166028 1217858 1554704 1826787 2332056 2435716 3109408 3653574 4664112 4871432 7307148 9328224 9742864 9814069 14614296 19485728 19628138 29228592 29442207 39256276 58457184 58884414 78512552 117768828 157025104 235537656 314050208 471075312 585831901 942150624 1171663802 1757495703 2343327604 3514991406 4686655208 7029982812 9373310416 14059965624 18746620832 28119931248 56239862496 59169022001 118338044002 177507066003 236676088004 355014132006 473352176008 710028264012 946704352016 1420056528024 1893408704032 2840113056048 5680226112096