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114872064978 = 231110194118313
BaseRepresentation
bin110101011111011101…
…0001001101111010010
3101222111122001112002010
41222332322021233102
53340224222034403
6124434351003350
711204431304346
oct1527672115722
9358448045063
10114872064978
11447983166a0
121a31a509556
13aaa89b3ba8
1457ba2a1626
152ec4bcc603
hex1abee89bd2

114872064978 has 64 divisors (see below), whose sum is σ = 253394262144. Its totient is φ = 34426560000.

The previous prime is 114872064977. The next prime is 114872065037. The reversal of 114872064978 is 879460278411.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114872064971) 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, 6263550 + ... + 6281862.

It is an arithmetic number, because the mean of its divisors is an integer number (3959285346).

Almost surely, 2114872064978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114872064978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126697131072).

114872064978 is an abundant number, since it is smaller than the sum of its proper divisors (138522197166).

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

114872064978 is a wasteful number, since it uses less digits than its factorization.

114872064978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19371.

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 114872064978 in words is "one hundred fourteen billion, eight hundred seventy-two million, sixty-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 941 1111 1882 2222 2823 3333 5646 6666 10351 18313 20702 31053 36626 54939 62106 95041 109878 190082 201443 285123 402886 570246 604329 1045451 1208658 1849613 2090902 3136353 3699226 5548839 6272706 11097678 17232533 20345743 34465066 40691486 51697599 61037229 103395198 122074458 189557863 379115726 568673589 1137347178 1740485833 3480971666 5221457499 10442914998 19145344163 38290688326 57436032489 114872064978