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109997258756 = 227117919922717
BaseRepresentation
bin110011001110001011…
…0001111100000000100
3101111220220020201002112
41212130112033200010
53300233244240011
6122310531000152
710642556162330
oct1463426174004
9344826221075
10109997258756
1142716648620
1219399a39058
13a4aca7a278
145476aac7c0
152cdbc5558b
hex199c58f804

109997258756 has 96 divisors (see below), whose sum is σ = 244263936000. Its totient is φ = 42099108480.

The previous prime is 109997258713. The next prime is 109997258759. The reversal of 109997258756 is 657852799901.

It is a happy number.

109997258756 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (109997258759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4830710 + ... + 4853426.

It is an arithmetic number, because the mean of its divisors is an integer number (2544416000).

Almost surely, 2109997258756 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 109997258756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122131968000).

109997258756 is an abundant number, since it is smaller than the sum of its proper divisors (134266677244).

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

109997258756 is a wasteful number, since it uses less digits than its factorization.

109997258756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23017 (or 23015 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 68.

The spelling of 109997258756 in words is "one hundred nine billion, nine hundred ninety-seven million, two hundred fifty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 199 308 316 398 553 796 869 1106 1393 1738 2189 2212 2786 3476 4378 5572 6083 8756 12166 15323 15721 22717 24332 30646 31442 45434 61292 62884 90868 110047 159019 172931 220094 249887 318038 345862 440188 499774 636076 691724 999548 1210517 1749209 1794643 2421034 3498418 3589286 4520683 4842068 6996836 7178572 9041366 12562501 18082732 19741073 25125002 31644781 39482146 49727513 50250004 63289562 78964292 99455026 126579124 138187511 198910052 276375022 348092591 357133957 552750044 696185182 714267914 1392370364 1428535828 2499937699 3928473527 4999875398 7856947054 9999750796 15713894108 27499314689 54998629378 109997258756