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10473881000 = 235311286561
BaseRepresentation
bin10011100000100101…
…01011110110101000
31000000221110021122112
421300102223312220
5132422303143000
64451151341452
7520360343132
oct116022536650
930027407575
1010473881000
114495261900
122043821888
13cabc28c2b
1471507a052
154147b7235
hex2704abda8

10473881000 has 96 divisors (see below), whose sum is σ = 26939825640. Its totient is φ = 3808640000.

The previous prime is 10473880997. The next prime is 10473881053. The reversal of 10473881000 is 18837401.

It can be written as a sum of positive squares in 4 ways, for example, as 1980784036 + 8493096964 = 44506^2 + 92158^2 .

It is a super-2 number, since 2×104738810002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77720 + ... + 164280.

Almost surely, 210473881000 is an apocalyptic number.

10473881000 is a gapful number since it is divisible by the number (10) 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 10473881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469912820).

10473881000 is an abundant number, since it is smaller than the sum of its proper divisors (16465944640).

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

10473881000 is a wasteful number, since it uses less digits than its factorization.

10473881000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86604 (or 86579 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 10473881000 in words is "ten billion, four hundred seventy-three million, eight hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 86561 121000 173122 346244 432805 692488 865610 952171 1731220 1904342 2164025 3462440 3808684 4328050 4760855 7617368 8656100 9521710 10473881 10820125 17312200 19043420 20947762 21640250 23804275 38086840 41895524 43280500 47608550 52369405 83791048 86561000 95217100 104738810 119021375 190434200 209477620 238042750 261847025 418955240 476085500 523694050 952171000 1047388100 1309235125 2094776200 2618470250 5236940500 10473881000