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10442794860 = 22335137141157
BaseRepresentation
bin10011011100111000…
…00110011101101100
3222221202221221111000
421232130012131230
5132341323413420
64444121200300
7516532202031
oct115634063554
928852857430
1010442794860
11447975a383
122035330090
13ca5663774
14710ca7388
15411bc6690
hex26e70676c

10442794860 has 96 divisors (see below), whose sum is σ = 32726070720. Its totient is φ = 2764399104.

The previous prime is 10442794849. The next prime is 10442794871. The reversal of 10442794860 is 6849724401.

It is an interprime number because it is at equal distance from previous prime (10442794849) and next prime (10442794871).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402 + ... + 144558.

It is an arithmetic number, because the mean of its divisors is an integer number (340896570).

Almost surely, 210442794860 is an apocalyptic number.

10442794860 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 10442794860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363035360).

10442794860 is an abundant number, since it is smaller than the sum of its proper divisors (22283275860).

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

10442794860 is a wasteful number, since it uses less digits than its factorization.

10442794860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141312 (or 141304 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10442794860 in words is "ten billion, four hundred forty-two million, seven hundred ninety-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 18495 24660 36990 73980 141157 282314 423471 564628 705785 846942 1270413 1411570 1693884 2117355 2540826 2823140 3811239 4234710 5081652 6352065 7622478 8469420 12704130 15244956 19056195 19338509 25408260 38112390 38677018 58015527 76224780 77354036 96692545 116031054 174046581 193385090 232062108 290077635 348093162 386770180 522139743 580155270 696186324 870232905 1044279486 1160310540 1740465810 2088558972 2610698715 3480931620 5221397430 10442794860