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1880096768 = 22011163
BaseRepresentation
bin111000000010000…
…0000000000000000
311212000201210220122
41300010000000000
512322301044033
6510320555412
764406362454
oct16004000000
94760653818
101880096768
118852a1590
12445782b68
1323c6854c4
1413b9a6664
15b00caa98
hex70100000

1880096768 has 84 divisors (see below), whose sum is σ = 4127193168. Its totient is φ = 849346560.

The previous prime is 1880096749. The next prime is 1880096807. The reversal of 1880096768 is 8676900881.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11534255 + ... + 11534417.

It is an arithmetic number, because the mean of its divisors is an integer number (49133252).

Almost surely, 21880096768 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 1880096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063596584).

1880096768 is an abundant number, since it is smaller than the sum of its proper divisors (2247096400).

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

1880096768 is an frugal number, since it uses more digits than its factorization.

1880096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The square root of 1880096768 is about 43360.0826567478. The cubic root of 1880096768 is about 1234.2223339328. Note that the first 3 decimals are identical.

The spelling of 1880096768 in words is "one billion, eight hundred eighty million, ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 256 326 352 512 652 704 1024 1304 1408 1793 2048 2608 2816 3586 4096 5216 5632 7172 8192 10432 11264 14344 16384 20864 22528 28688 32768 41728 45056 57376 65536 83456 90112 114752 131072 166912 180224 229504 262144 333824 360448 459008 524288 667648 720896 918016 1048576 1335296 1441792 1836032 2670592 2883584 3672064 5341184 5767168 7344128 10682368 11534336 14688256 21364736 29376512 42729472 58753024 85458944 117506048 170917888 235012096 470024192 940048384 1880096768