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995006945780 = 22517191223125941
BaseRepresentation
bin11100111101010110000…
…10010001100111110100
310112010021202002222201222
432132223002101213310
5112300233234231110
62041033324005512
7131613125330441
oct16365302214764
93463252088658
10995006945780
11353a86532401
12140a09990898
1372aa09cc5a3
14362312729c8
151ad38232c55
hexe7ab0919f4

995006945780 has 96 divisors (see below), whose sum is σ = 2330793480960. Its totient is φ = 354582558720.

The previous prime is 995006945743. The next prime is 995006945783. The reversal of 995006945780 is 87549600599.

It is a super-5 number, since 5×9950069457805 (a number of 61 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995006945783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7837610 + ... + 7963550.

It is an arithmetic number, because the mean of its divisors is an integer number (24279098760).

Almost surely, 2995006945780 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 995006945780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165396740480).

995006945780 is an abundant number, since it is smaller than the sum of its proper divisors (1335786535180).

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

995006945780 is a wasteful number, since it uses less digits than its factorization.

995006945780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127209 (or 127207 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 62.

The spelling of 995006945780 in words is "nine hundred ninety-five billion, six million, nine hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1223 1292 1615 2446 3230 4892 6115 6460 12230 20791 23237 24460 41582 46474 83164 92948 103955 116185 125941 207910 232370 251882 395029 415820 464740 503764 629705 790058 1259410 1580116 1975145 2140997 2392879 2518820 3950290 4281994 4785758 7900580 8563988 9571516 10704985 11964395 21409970 23928790 40678943 42819940 47857580 81357886 154025843 162715772 203394715 308051686 406789430 616103372 770129215 813578860 1540258430 2618439331 2926491017 3080516860 5236878662 5852982034 10473757324 11705964068 13092196655 14632455085 26184393310 29264910170 49750347289 52368786620 58529820340 99500694578 199001389156 248751736445 497503472890 995006945780