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10316661760 = 210510091997
BaseRepresentation
bin10011001101110101…
…11100010000000000
3222121222121201101201
421212322330100000
5132112031134020
64423413510544
7513441115036
oct114672742000
928558551351
1010316661760
114414539749
121bbb042454
13c854a00b2
146dc232556
15405aada0a
hex266ebc400

10316661760 has 88 divisors (see below), whose sum is σ = 24784830360. Its totient is φ = 4120510464.

The previous prime is 10316661749. The next prime is 10316661779. The reversal of 10316661760 is 6716661301.

It can be written as a sum of positive squares in 4 ways, for example, as 84934656 + 10231727104 = 9216^2 + 101152^2 .

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, 5165082 + ... + 5167078.

Almost surely, 210316661760 is an apocalyptic number.

10316661760 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 10316661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392415180).

10316661760 is an abundant number, since it is smaller than the sum of its proper divisors (14468168600).

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

10316661760 is a wasteful number, since it uses less digits than its factorization.

10316661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 10316661760 in words is "ten billion, three hundred sixteen million, six hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1009 1024 1280 1997 2018 2560 3994 4036 5045 5120 7988 8072 9985 10090 15976 16144 19970 20180 31952 32288 39940 40360 63904 64576 79880 80720 127808 129152 159760 161440 255616 258304 319520 322880 511232 516608 639040 645760 1022464 1033216 1278080 1291520 2014973 2044928 2556160 2583040 4029946 5112320 5166080 8059892 10074865 10224640 16119784 20149730 32239568 40299460 64479136 80598920 128958272 161197840 257916544 322395680 515833088 644791360 1031666176 1289582720 2063332352 2579165440 5158330880 10316661760