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10327347400 = 23521914511873
BaseRepresentation
bin10011001111000111…
…01101000011001000
3222122201201121100011
421213203231003020
5132122300104100
64424434521304
7513631001356
oct114743550310
928581647304
1010327347400
11441a577a57
122002736234
13c87771a66
146dd8147d6
154069bebba
hex2678ed0c8

10327347400 has 96 divisors (see below), whose sum is σ = 25305746400. Its totient is φ = 3908736000.

The previous prime is 10327347377. The next prime is 10327347467. The reversal of 10327347400 is 474372301.

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, 5512864 + ... + 5514736.

It is an arithmetic number, because the mean of its divisors is an integer number (263601525).

Almost surely, 210327347400 is an apocalyptic number.

10327347400 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 10327347400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652873200).

10327347400 is an abundant number, since it is smaller than the sum of its proper divisors (14978399000).

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

10327347400 is a wasteful number, since it uses less digits than its factorization.

10327347400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 10327347400 in words is "ten billion, three hundred twenty-seven million, three hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1451 1873 1900 2902 3746 3800 5804 7255 7492 9365 11608 14510 14984 18730 27569 29020 35587 36275 37460 46825 55138 58040 71174 72550 74920 93650 110276 137845 142348 145100 177935 187300 220552 275690 284696 290200 355870 374600 551380 689225 711740 889675 1102760 1378450 1423480 1779350 2717723 2756900 3558700 5435446 5513800 7117400 10870892 13588615 21741784 27177230 51636737 54354460 67943075 103273474 108708920 135886150 206546948 258183685 271772300 413093896 516367370 543544600 1032734740 1290918425 2065469480 2581836850 5163673700 10327347400