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31298209568 = 2553166911057
BaseRepresentation
bin11101001001100001…
…001100011100100000
32222210020002210002222
4131021201030130200
51003044320201233
622213405130212
72155412251253
oct351141143440
988706083088
1031298209568
11123010290aa
126095859968
132c4a324142
14172ca2109a
15c32ab3898
hex74984c720

31298209568 has 48 divisors (see below), whose sum is σ = 62824257720. Its totient is φ = 15343251456.

The previous prime is 31298209549. The next prime is 31298209571. The reversal of 31298209568 is 86590289213.

It is a Cunningham number, because it is equal to 1769132-1.

It can be written as a sum of positive squares in 4 ways, for example, as 25847635984 + 5450573584 = 160772^2 + 73828^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2825096 + ... + 2836152.

Almost surely, 231298209568 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 31298209568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31412128860).

31298209568 is an abundant number, since it is smaller than the sum of its proper divisors (31526048152).

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

31298209568 is a wasteful number, since it uses less digits than its factorization.

31298209568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12789 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The spelling of 31298209568 in words is "thirty-one billion, two hundred ninety-eight million, two hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1669 1696 3338 6676 11057 13352 22114 26704 44228 53408 88456 88457 176912 176914 353824 353828 586021 707656 1172042 1415312 2344084 2830624 4688168 9376336 18454133 18752672 36908266 73816532 147633064 295266128 590532256 978069049 1956138098 3912276196 7824552392 15649104784 31298209568