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117121412568 = 233192775771607
BaseRepresentation
bin110110100010011111…
…0101110110111011000
3102012022101121012220010
41231010332232313120
53404331040200233
6125445502201520
711314243403136
oct1550476566730
9365271535803
10117121412568
1145741a90846
121a8478832a0
13b076a029b4
145950d06756
1530a73e5b63
hex1b44faedd8

117121412568 has 128 divisors (see below), whose sum is σ = 310055846400. Its totient is φ = 36765425664.

The previous prime is 117121412561. The next prime is 117121412591. The reversal of 117121412568 is 865214121711.

It is a happy number.

117121412568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117121412561) 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, 72881221 + ... + 72882827.

It is an arithmetic number, because the mean of its divisors is an integer number (2422311300).

Almost surely, 2117121412568 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 117121412568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155027923200).

117121412568 is an abundant number, since it is smaller than the sum of its proper divisors (192934433832).

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

117121412568 is a wasteful number, since it uses less digits than its factorization.

117121412568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2485 counting only the distinct ones).

The product of its digits is 26880, while the sum is 39.

The spelling of 117121412568 in words is "one hundred seventeen billion, one hundred twenty-one million, four hundred twelve thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 277 456 554 577 831 1108 1154 1607 1662 1731 2216 2308 3214 3324 3462 4616 4821 5263 6428 6648 6924 9642 10526 10963 12856 13848 15789 19284 21052 21926 30533 31578 32889 38568 42104 43852 61066 63156 65778 87704 91599 122132 126312 131556 159829 183198 244264 263112 319658 366396 445139 479487 639316 732792 890278 927239 958974 1278632 1335417 1780556 1854478 1917948 2670834 2781717 3036751 3561112 3708956 3835896 5341668 5563434 6073502 7417912 8457641 9110253 10683336 11126868 12147004 16915282 17617541 18220506 22253736 24294008 25372923 33830564 35235082 36441012 50745846 52852623 67661128 70470164 72882024 101491692 105705246 140940328 202983384 211410492 256845203 422820984 513690406 770535609 1027380812 1541071218 2054761624 3082142436 4880058857 6164284872 9760117714 14640176571 19520235428 29280353142 39040470856 58560706284 117121412568