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380128970116 = 22724729372
BaseRepresentation
bin1011000100000010111…
…00111100010110000100
31100100011211201110111001
411202001130330112010
522212001004020431
6450343455023044
736314643635200
oct5420134742604
91310154643431
10380128970116
11137236991555
126180850aa84
1329acc8ab4ac
141458108db00
159d4c155e61
hex588173c584

380128970116 has 81 divisors (see below), whose sum is σ = 791493546501. Its totient is φ = 159276027456.

The previous prime is 380128970099. The next prime is 380128970141. The reversal of 380128970116 is 611079821083.

It is a happy number.

The square root of 380128970116 is 616546.

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., 20013760900 + 360115209216 = 141470^2 + 600096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 405686800 + ... + 405687736.

Almost surely, 2380128970116 is an apocalyptic number.

380128970116 is the 616546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380128970116

380128970116 is an abundant number, since it is smaller than the sum of its proper divisors (411364576385).

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

380128970116 is an frugal number, since it uses more digits than its factorization.

380128970116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

It can be divided in two parts, 380128 and 970116, that added together give a square (1350244 = 11622).

The spelling of 380128970116 in words is "three hundred eighty billion, one hundred twenty-eight million, nine hundred seventy thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 937 1316 1874 2209 2303 3748 4418 4606 6559 8836 9212 13118 15463 26236 30926 44039 45913 61852 88078 91826 108241 176156 183652 216482 308273 432964 616546 877969 1233092 1755938 2069833 2157911 3511876 4139666 4315822 6145783 8279332 8631644 12291566 14488831 24583132 28977662 41264543 43020481 57955324 82529086 86040962 101421817 165058172 172081924 202843634 288851801 405687268 577703602 1155407204 1939433521 2021962607 3878867042 4043925214 7757734084 8087850428 13576034647 27152069294 54304138588 95032242529 190064485058 380128970116