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8230744481004 = 22323148796715661
BaseRepresentation
bin111011111000101111010…
…0110011101110011101100
31002010211222201211112200100
41313301132212131303230
52034323031041343004
625301052443031100
71506436343513523
oct167613646356354
932124881745610
108230744481004
112693703759021
12b0b20b80b490
134792045bcb16
14206527a014ba
15e4179570739
hex77c5e99dcec

8230744481004 has 144 divisors (see below), whose sum is σ = 21544368541696. Its totient is φ = 2646717897600.

The previous prime is 8230744480991. The next prime is 8230744481009. The reversal of 8230744481004 is 4001844470328.

8230744481004 is a `hidden beast` number, since 8 + 2 + 30 + 74 + 448 + 100 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (8230744481009) 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, 525548934 + ... + 525564594.

Almost surely, 28230744481004 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 8230744481004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772184270848).

8230744481004 is an abundant number, since it is smaller than the sum of its proper divisors (13313624060692).

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

8230744481004 is a wasteful number, since it uses less digits than its factorization.

8230744481004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17156 (or 17151 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 8230744481004 in words is "eight trillion, two hundred thirty billion, seven hundred forty-four million, four hundred eighty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 487 558 967 974 1116 1461 1934 1948 2901 2922 3868 4383 5802 5844 8703 8766 11604 15097 15661 17406 17532 29977 30194 31322 34812 45291 46983 59954 60388 62644 89931 90582 93966 119908 135873 140949 179862 181164 187932 269793 271746 281898 359724 470929 485491 539586 543492 563796 941858 970982 1079172 1412787 1456473 1883716 1941964 2825574 2912946 4238361 4369419 5651148 5825892 7626907 8476722 8738838 14598799 15144187 15253814 16953444 17477676 22880721 29197598 30288374 30507628 43796397 45432561 45761442 58395196 60576748 68642163 87592794 90865122 91522884 131389191 136297683 137284326 175185588 181730244 236434117 262778382 272595366 274568652 469469797 472868234 525556764 545190732 709302351 938939594 945736468 1408409391 1418604702 1877879188 2127907053 2816818782 2837209404 4225228173 4255814106 5633637564 7375219069 8450456346 8511628212 14750438138 16900912692 22125657207 29500876276 44251314414 66376971621 88502628828 132753943242 228631791139 265507886484 457263582278 685895373417 914527164556 1371790746834 2057686120251 2743581493668 4115372240502 8230744481004