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10497138786 = 235229257367
BaseRepresentation
bin10011100011010110…
…11010000001100010
31000002120012220100000
421301223122001202
5132444231420121
64453342040430
7521062131111
oct116153320142
930076186300
1010497138786
1144a73a7812
12204b579116
13cb39b0134
147181b1c78
1541685d526
hex271ada062

10497138786 has 96 divisors (see below), whose sum is σ = 23846135040. Its totient is φ = 3460755456.

The previous prime is 10497138737. The next prime is 10497138793. The reversal of 10497138786 is 68783179401.

10497138786 is a `hidden beast` number, since 10 + 497 + 138 + 7 + 8 + 6 = 666.

It is a super-2 number, since 2×104971387862 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28602375 + ... + 28602741.

It is an arithmetic number, because the mean of its divisors is an integer number (248397240).

Almost surely, 210497138786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10497138786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923067520).

10497138786 is an abundant number, since it is smaller than the sum of its proper divisors (13348996254).

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

10497138786 is a wasteful number, since it uses less digits than its factorization.

10497138786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10497138786 in words is "ten billion, four hundred ninety-seven million, one hundred thirty-eight thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 243 257 367 458 486 514 687 734 771 1101 1374 1542 2061 2202 2313 3303 4122 4626 6183 6606 6939 9909 12366 13878 18549 19818 20817 29727 37098 41634 55647 58853 59454 62451 84043 89181 94319 111294 117706 124902 168086 176559 178362 188638 252129 282957 353118 504258 529677 565914 756387 848871 1059354 1512774 1589031 1697742 2269161 2546613 3178062 4538322 4767093 5093226 6807483 7639839 9534186 13614966 14301279 15279678 20422449 21599051 22919517 28602558 40844898 43198102 45839034 64797153 129594306 194391459 388782918 583174377 1166348754 1749523131 3499046262 5248569393 10497138786