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3919948368 = 2437191573911
BaseRepresentation
bin1110100110100101…
…1010101001010000
3101010012002000020220
43221221122221100
531012001321433
61444550033040
7166066003620
oct35151325120
911105060226
103919948368
111731788256
12914948780
134a617399b
14292876880
1517e2112b3
hexe9a5aa50

3919948368 has 160 divisors (see below), whose sum is σ = 12263024640. Its totient is φ = 1054010880.

The previous prime is 3919948363. The next prime is 3919948381. The reversal of 3919948368 is 8638499193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3919948363) 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, 1000333 + ... + 1004243.

It is an arithmetic number, because the mean of its divisors is an integer number (76643904).

Almost surely, 23919948368 is an apocalyptic number.

3919948368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3919948368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131512320).

3919948368 is an abundant number, since it is smaller than the sum of its proper divisors (8343076272).

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

3919948368 is a wasteful number, since it uses less digits than its factorization.

3919948368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4099 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The square root of 3919948368 is about 62609.4910377013. The cubic root of 3919948368 is about 1576.7401099203.

The spelling of 3919948368 in words is "three billion, nine hundred nineteen million, nine hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 157 168 228 266 304 314 336 399 456 471 532 628 798 912 942 1064 1099 1256 1596 1884 2128 2198 2512 2983 3192 3297 3768 3911 4396 5966 6384 6594 7536 7822 8792 8949 11733 11932 13188 15644 17584 17898 20881 23466 23864 26376 27377 31288 35796 41762 46932 47728 52752 54754 62576 62643 71592 74309 82131 83524 93864 109508 125286 143184 148618 164262 167048 187728 219016 222927 250572 297236 328524 334096 438032 445854 501144 520163 594472 614027 657048 891708 1002288 1040326 1188944 1228054 1314096 1560489 1783416 1842081 2080652 2456108 3120978 3566832 3684162 4161304 4298189 4912216 6241956 7368324 8322608 8596378 9824432 11666513 12483912 12894567 14736648 17192756 23333026 24967824 25789134 29473296 34385512 34999539 46666052 51578268 68771024 69999078 81665591 93332104 103156536 139998156 163331182 186664208 206313072 244996773 279996312 326662364 489993546 559992624 653324728 979987092 1306649456 1959974184 3919948368