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39378316340 = 225113741117991
BaseRepresentation
bin100100101011001000…
…010110110000110100
310202122100020201211202
4210223020112300310
51121121322110330
630031245552032
72562555110666
oct445310266064
9122570221752
1039378316340
111577803a9a0
12776b875618
1339373340cc
141c97bbc536
151057134445
hex92b216c34

39378316340 has 96 divisors (see below), whose sum is σ = 94910876928. Its totient is φ = 13592448000.

The previous prime is 39378316291. The next prime is 39378316349. The reversal of 39378316340 is 4361387393.

It is a super-2 number, since 2×393783163402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39378316349) 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, 274745 + ... + 392735.

It is an arithmetic number, because the mean of its divisors is an integer number (988654968).

Almost surely, 239378316340 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 39378316340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47455438464).

39378316340 is an abundant number, since it is smaller than the sum of its proper divisors (55532560588).

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

39378316340 is a wasteful number, since it uses less digits than its factorization.

39378316340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118089 (or 118087 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The spelling of 39378316340 in words is "thirty-nine billion, three hundred seventy-eight million, three hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 41 44 55 74 82 110 148 164 185 205 220 370 407 410 451 740 814 820 902 1517 1628 1804 2035 2255 3034 4070 4510 6068 7585 8140 9020 15170 16687 30340 33374 66748 83435 117991 166870 235982 333740 471964 589955 1179910 1297901 2359820 2595802 4365667 4837631 5191604 6489505 8731334 9675262 12979010 17462668 19350524 21828335 24188155 25958020 43656670 48022337 48376310 53213941 87313340 96044674 96752620 106427882 178992347 192089348 212855764 240111685 266069705 357984694 480223370 532139410 715969388 894961735 960446740 1064278820 1789923470 1968915817 3579846940 3937831634 7875663268 9844579085 19689158170 39378316340