Search a number
-
+
5233235417700 = 2235253794166257
BaseRepresentation
bin100110000100111010100…
…1000110101101001100100
3200112021220011200221222220
41030021311020311221210
51141220131231331300
615044040512552340
71050042311046513
oct114116510655144
920467804627886
105233235417700
111738447a65a14
1270629bb526b0
132bc651b67c74
1414140b87a67a
15911dd866da0
hex4c275235a64

5233235417700 has 144 divisors (see below), whose sum is σ = 15622467598080. Its totient is φ = 1351866746880.

The previous prime is 5233235417671. The next prime is 5233235417731. The reversal of 5233235417700 is 77145323325.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827029 + ... + 3339228.

It is an arithmetic number, because the mean of its divisors is an integer number (108489358320).

Almost surely, 25233235417700 is an apocalyptic number.

5233235417700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5233235417700 is an abundant number, since it is smaller than the sum of its proper divisors (10389232180380).

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

5233235417700 is a wasteful number, since it uses less digits than its factorization.

5233235417700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166406 (or 4166399 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 5233235417700 in words is "five trillion, two hundred thirty-three billion, two hundred thirty-five million, four hundred seventeen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 79 100 106 150 158 159 212 237 265 300 316 318 395 474 530 636 790 795 948 1060 1185 1325 1580 1590 1975 2370 2650 3180 3950 3975 4187 4740 5300 5925 7900 7950 8374 11850 12561 15900 16748 20935 23700 25122 41870 50244 62805 83740 104675 125610 209350 251220 314025 418700 628050 1256100 4166257 8332514 12498771 16665028 20831285 24997542 41662570 49995084 62493855 83325140 104156425 124987710 208312850 220811621 249975420 312469275 329134303 416625700 441623242 624938550 658268606 662434863 883246484 987402909 1104058105 1249877100 1316537212 1324869726 1645671515 1974805818 2208116210 2649739452 3291343030 3312174315 3949611636 4416232420 4937014545 5520290525 6582686060 6624348630 8228357575 9874029090 11040581050 13248697260 16456715150 16560871575 17444118059 19748058180 22081162100 24685072725 32913430300 33121743150 34888236118 49370145450 52332354177 66243486300 69776472236 87220590295 98740290900 104664708354 174441180590 209329416708 261661770885 348882361180 436102951475 523323541770 872205902950 1046647083540 1308308854425 1744411805900 2616617708850 5233235417700