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31339064520 = 23325281309797
BaseRepresentation
bin11101001011111101…
…000010110011001000
32222220001222102120100
4131023331002303020
51003140300031040
622221424525400
72156416440021
oct351375026310
988801872510
1031339064520
11123220a3025
1260a7480860
132c55929b7a
141734217c48
15c36483b30
hex74bf42cc8

31339064520 has 96 divisors (see below), whose sum is σ = 102214752120. Its totient is φ = 8327316480.

The previous prime is 31339064447. The next prime is 31339064521. The reversal of 31339064520 is 2546093313.

It is a happy number.

31339064520 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 9 + 0 + 645 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16856867556 + 14482196964 = 129834^2 + 120342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31339064521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53739 + ... + 256058.

Almost surely, 231339064520 is an apocalyptic number.

31339064520 is a gapful number since it is divisible by the number (30) 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 31339064520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51107376060).

31339064520 is an abundant number, since it is smaller than the sum of its proper divisors (70875687600).

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

31339064520 is a wasteful number, since it uses less digits than its factorization.

31339064520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310095 (or 310088 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 31339064520 in words is "thirty-one billion, three hundred thirty-nine million, sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 281 360 562 843 1124 1405 1686 2248 2529 2810 3372 4215 5058 5620 6744 8430 10116 11240 12645 16860 20232 25290 33720 50580 101160 309797 619594 929391 1239188 1548985 1858782 2478376 2788173 3097970 3717564 4646955 5576346 6195940 7435128 9293910 11152692 12391880 13940865 18587820 22305384 27881730 37175640 55763460 87052957 111526920 174105914 261158871 348211828 435264785 522317742 696423656 783476613 870529570 1044635484 1305794355 1566953226 1741059140 2089270968 2611588710 3133906452 3482118280 3917383065 5223177420 6267812904 7834766130 10446354840 15669532260 31339064520