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31258000000 = 275615629
BaseRepresentation
bin11101000111000111…
…110011101010000000
32222200102102220221201
4131013013303222000
51003004022000000
622205411230544
72154413421223
oct350707635200
988612386851
1031258000000
1112290365057
1260842a8454
132c41bb60b6
1417275555ba
15c2e2be96a
hex7471f3a80

31258000000 has 112 divisors (see below), whose sum is σ = 77843730150. Its totient is φ = 12502400000.

The previous prime is 31257999989. The next prime is 31258000061. The reversal of 31258000000 is 85213.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 5711731776 + 25546268224 = 75576^2 + 159832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1992186 + ... + 2007814.

Almost surely, 231258000000 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 31258000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38921865075).

31258000000 is an abundant number, since it is smaller than the sum of its proper divisors (46585730150).

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

31258000000 is an frugal number, since it uses more digits than its factorization.

31258000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 31258000000 its reverse (85213), we get a palindrome (31258085213).

The spelling of 31258000000 in words is "thirty-one billion, two hundred fifty-eight million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 15629 16000 20000 25000 31250 31258 40000 50000 62500 62516 78145 80000 100000 125000 125032 156290 200000 250000 250064 312580 390725 400000 500000 500128 625160 781450 1000000 1000256 1250320 1562900 1953625 2000000 2000512 2500640 3125800 3907250 5001280 6251600 7814500 9768125 10002560 12503200 15629000 19536250 25006400 31258000 39072500 48840625 50012800 62516000 78145000 97681250 125032000 156290000 195362500 244203125 250064000 312580000 390725000 488406250 625160000 781450000 976812500 1250320000 1562900000 1953625000 3125800000 3907250000 6251600000 7814500000 15629000000 31258000000