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204307513455540 = 2235112162717296577
BaseRepresentation
bin101110011101000100001100…
…110000111011001110110100
3222210101121101220010212121210
4232131010030300323032310
5203234333241421034130
62002305324224041420
761014505433500425
oct5635041460731664
9883347356125553
10204307513455540
115a10a36a072600
121aab81b8a63270
138a001676a58a1
143864771cbb64c
1518947921475b0
hexb9d10cc3b3b4

204307513455540 has 144 divisors (see below), whose sum is σ = 629180874818496. Its totient is φ = 49498649333760.

The previous prime is 204307513455497. The next prime is 204307513455569. The reversal of 204307513455540 is 45554315703402.

204307513455540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204307513455540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163732 + ... + 20460308.

It is an arithmetic number, because the mean of its divisors is an integer number (4369311630684).

Almost surely, 2204307513455540 is an apocalyptic number.

204307513455540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204307513455540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314590437409248).

204307513455540 is an abundant number, since it is smaller than the sum of its proper divisors (424873361362956).

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

204307513455540 is a wasteful number, since it uses less digits than its factorization.

204307513455540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17298238 (or 17298225 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 48.

The spelling of 204307513455540 in words is "two hundred four trillion, three hundred seven billion, five hundred thirteen million, four hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1627 1815 2420 3254 3630 4881 6508 7260 8135 9762 16270 17897 19524 24405 32540 35794 48810 53691 71588 89485 97620 107382 178970 196867 214764 268455 357940 393734 536910 590601 787468 984335 1073820 1181202 1968670 2362404 2953005 3937340 5906010 11812020 17296577 34593154 51889731 69186308 86482885 103779462 172965770 190262347 207558924 259448655 345931540 380524694 518897310 570787041 761049388 951311735 1037794620 1141574082 1902623470 2092885817 2283148164 2853935205 3805246940 4185771634 5707870410 6278657451 8371543268 10464429085 11415740820 12557314902 20928858170 25114629804 28141530779 31393287255 41857716340 56283061558 62786574510 84424592337 112566123116 125573149020 140707653895 168849184674 281415307790 309556838569 337698369348 422122961685 562830615580 619113677138 844245923370 928670515707 1238227354276 1547784192845 1688491846740 1857341031414 3095568385690 3405125224259 3714682062828 4643352578535 6191136771380 6810250448518 9286705157070 10215375672777 13620500897036 17025626121295 18573410314140 20430751345554 34051252242590 40861502691108 51076878363885 68102504485180 102153756727770 204307513455540