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208730972460 = 223529347345707
BaseRepresentation
bin1100001001100101010…
…1011110000100101100
3201221202211011001002210
43002121111132010230
511404440112104320
6235520101050420
721036355664133
oct3023125360454
9657684131083
10208730972460
118058221301a
12345536b6a10
13168b612717a
14a1618a691a
155669c0e0e0
hex309955e12c

208730972460 has 96 divisors (see below), whose sum is σ = 606344175360. Its totient is φ = 53587195648.

The previous prime is 208730972453. The next prime is 208730972467. The reversal of 208730972460 is 64279037802.

208730972460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208730972453) and next prime (208730972467).

It is not an unprimeable number, because it can be changed into a prime (208730972467) by changing a digit.

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, 430927 + ... + 776633.

It is an arithmetic number, because the mean of its divisors is an integer number (6316085160).

Almost surely, 2208730972460 is an apocalyptic number.

208730972460 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 208730972460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303172087680).

208730972460 is an abundant number, since it is smaller than the sum of its proper divisors (397613202900).

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

208730972460 is a wasteful number, since it uses less digits than its factorization.

208730972460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346095 (or 346093 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 208730972460 in words is "two hundred eight billion, seven hundred thirty million, nine hundred seventy-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 347 348 435 580 694 870 1041 1388 1735 1740 2082 3470 4164 5205 6940 10063 10410 20126 20820 30189 40252 50315 60378 100630 120756 150945 201260 301890 345707 603780 691414 1037121 1382828 1728535 2074242 3457070 4148484 5185605 6914140 10025503 10371210 20051006 20742420 30076509 40102012 50127515 60153018 100255030 119960329 120306036 150382545 200510060 239920658 300765090 359880987 479841316 599801645 601530180 719761974 1199603290 1439523948 1799404935 2399206580 3478849541 3598809870 6957699082 7197619740 10436548623 13915398164 17394247705 20873097246 34788495410 41746194492 52182743115 69576990820 104365486230 208730972460