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10490536350 = 2325278274027
BaseRepresentation
bin10011100010100100…
…01110000110011110
31000002002210110111100
421301102032012132
5132441034130400
64452544333530
7520652042040
oct116122160636
930062713440
1010490536350
1144a36a8258
1220493142a6
13cb250ab78
14717373a90
15415ea7100
hex27148e19e

10490536350 has 144 divisors (see below), whose sum is σ = 32257899648. Its totient is φ = 2394342720.

The previous prime is 10490536261. The next prime is 10490536351. The reversal of 10490536350 is 5363509401.

10490536350 is a `hidden beast` number, since 1 + 0 + 4 + 90 + 536 + 35 + 0 = 666.

It is a super-2 number, since 2×104905363502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490536351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2603037 + ... + 2607063.

It is an arithmetic number, because the mean of its divisors is an integer number (224013192).

Almost surely, 210490536350 is an apocalyptic number.

10490536350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490536350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128949824).

10490536350 is an abundant number, since it is smaller than the sum of its proper divisors (21767363298).

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

10490536350 is a wasteful number, since it uses less digits than its factorization.

10490536350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10490536350 in words is "ten billion, four hundred ninety million, five hundred thirty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 827 1050 1575 1654 2481 3150 4027 4135 4962 5789 7443 8054 8270 11578 12081 12405 14886 17367 20135 20675 24162 24810 28189 28945 34734 36243 37215 40270 41350 52101 56378 57890 60405 62025 72486 74430 84567 86835 100675 104202 120810 124050 140945 144725 169134 173670 181215 186075 201350 253701 260505 281890 289450 302025 362430 372150 422835 434175 507402 521010 604050 704725 845670 868350 906075 1268505 1302525 1409450 1812150 2114175 2537010 2605050 3330329 4228350 6342525 6660658 9990987 12685050 16651645 19981974 23312303 29972961 33303290 46624606 49954935 59945922 69936909 83258225 99909870 116561515 139873818 149864805 166516450 209810727 233123030 249774675 299729610 349684545 419621454 499549350 582807575 699369090 749324025 1049053635 1165615150 1498648050 1748422725 2098107270 3496845450 5245268175 10490536350