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4813120833752 = 2371189652113463
BaseRepresentation
bin100011000001010010001…
…0110111000100011011000
3122001010111122222212010102
41012002210112320203120
51112324232413140002
614123041151234532
71004510423025560
oct106024426704330
918033448885112
104813120833752
111596262261a20
12658994518a48
1328bb4c1a335a
14128d560c5da0
158530111ba02
hex460a45b88d8

4813120833752 has 128 divisors (see below), whose sum is σ = 11380462156800. Its totient is φ = 1853749708800.

The previous prime is 4813120833707. The next prime is 4813120833817. The reversal of 4813120833752 is 2573380213184.

It is a super-2 number, since 2×48131208337522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4813120833697 and 4813120833706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357500573 + ... + 357514035.

It is an arithmetic number, because the mean of its divisors is an integer number (88909860600).

Almost surely, 24813120833752 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 4813120833752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690231078400).

4813120833752 is an abundant number, since it is smaller than the sum of its proper divisors (6567341323048).

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

4813120833752 is a wasteful number, since it uses less digits than its factorization.

4813120833752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20097 (or 20093 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 4813120833752 in words is "four trillion, eight hundred thirteen billion, one hundred twenty million, eight hundred thirty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 89 154 178 308 356 616 623 712 979 1246 1958 2492 3916 4984 6521 6853 7832 13042 13463 13706 26084 26926 27412 45647 52168 53852 54824 71731 91294 94241 107704 143462 148093 182588 188482 286924 296186 365176 376964 502117 573848 580369 592372 753928 1004234 1036651 1160738 1184744 1198207 2008468 2073302 2321476 2396414 4016936 4062583 4146604 4642952 4792828 6384059 8125166 8293208 8387449 9585656 12768118 13180277 16250332 16774898 25536236 26360554 32500664 33549796 44688413 51072472 52721108 67099592 87792223 89376826 92261939 105442216 175584446 178753652 184523878 351168892 357507304 369047756 614545561 702337784 738095512 965714453 1229091122 1931428906 2458182244 3862857812 4916364488 6760001171 7725715624 7813507847 13520002342 15627015694 27040004684 31254031388 54080009368 54694554929 62508062776 85948586317 109389109858 171897172634 218778219716 343794345268 437556439432 601640104219 687588690536 1203280208438 2406560416876 4813120833752