Search a number
-
+
207853496712 = 2335353302891
BaseRepresentation
bin1100000110010100001…
…0001010100110001000
3201212111200000122200000
43001211002022212020
511401140443343322
6235253033443000
721005542366611
oct3014502124610
9655450018600
10207853496712
1180171975554
1234349870460
13167a63b8b54
14a0bb130c08
155617b813ac
hex306508a988

207853496712 has 96 divisors (see below), whose sum is σ = 585441773280. Its totient is φ = 69087997440.

The previous prime is 207853496693. The next prime is 207853496797. The reversal of 207853496712 is 217694358702.

It is a happy number.

207853496712 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 534 + 96 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534787 + ... + 837677.

It is an arithmetic number, because the mean of its divisors is an integer number (6098351805).

It is a 1-persistent number, because it is pandigital, but 2⋅207853496712 = 415706993424 is not.

Almost surely, 2207853496712 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 207853496712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292720886640).

207853496712 is an abundant number, since it is smaller than the sum of its proper divisors (377588276568).

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

207853496712 is a wasteful number, since it uses less digits than its factorization.

207853496712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303265 (or 303249 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 207853496712 in words is "two hundred seven billion, eight hundred fifty-three million, four hundred ninety-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 353 486 648 706 972 1059 1412 1944 2118 2824 3177 4236 6354 8472 9531 12708 19062 25416 28593 38124 57186 76248 85779 114372 171558 228744 302891 343116 605782 686232 908673 1211564 1817346 2423128 2726019 3634692 5452038 7269384 8178057 10904076 16356114 21808152 24534171 32712228 49068342 65424456 73602513 98136684 106920523 147205026 196273368 213841046 294410052 320761569 427682092 588820104 641523138 855364184 962284707 1283046276 1924569414 2566092552 2886854121 3849138828 5773708242 7698277656 8660562363 11547416484 17321124726 23094832968 25981687089 34642249452 51963374178 69284498904 103926748356 207853496712