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10292797116 = 22337219102367
BaseRepresentation
bin10011001010111111…
…11001111010111100
3222120022201021021000
421211133321322330
5132034424001431
64421202210300
7513031221600
oct114537717274
928508637230
1010292797116
1144020198a8
121bb3053990
13c805658c4
146d8dbd500
154039479e6
hex2657f9ebc

10292797116 has 144 divisors (see below), whose sum is σ = 32675865600. Its totient is φ = 2785993056.

The previous prime is 10292797111. The next prime is 10292797117. The reversal of 10292797116 is 61179729201.

It is a super-2 number, since 2×102927971162 (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 (10292797111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49365 + ... + 151731.

Almost surely, 210292797116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10292797116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337932800).

10292797116 is an abundant number, since it is smaller than the sum of its proper divisors (22383068484).

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

10292797116 is a wasteful number, since it uses less digits than its factorization.

10292797116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102413 (or 102398 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 10292797116 in words is "ten billion, two hundred ninety-two million, seven hundred ninety-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1596 1764 1862 2052 2394 2646 2793 3591 3724 4788 5292 5586 7182 8379 11172 14364 16758 25137 33516 50274 100548 102367 204734 307101 409468 614202 716569 921303 1228404 1433138 1842606 1944973 2149707 2763909 2866276 3685212 3889946 4299414 5015983 5527818 5834919 6449121 7779892 8598828 10031966 11055636 11669838 12898242 13614811 15047949 17504757 19347363 20063932 23339676 25796484 27229622 30095898 35009514 38694726 40844433 45143847 52514271 54459244 60191796 70019028 77389452 81688866 90287694 95303677 105028542 122533299 135431541 163377732 180575388 190607354 210057084 245066598 270863082 285911031 367599897 381214708 490133196 541726164 571822062 735199794 857733093 1143644124 1470399588 1715466186 2573199279 3430932372 5146398558 10292797116