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20403061347753 = 327325126332069
BaseRepresentation
bin1001010001110011101010…
…01110010101010110101001
32200020111212102111110021200
410220321311032111112221
510133240432201112003
6111221011553354413
74204033610655000
oct450716516252651
980214772443250
1020403061347753
1165569872512a7
1223562bbb68a09
13b50000c35b46
14507728c35c37
15255ae53e06a3
hex128e753955a9

20403061347753 has 48 divisors (see below), whose sum is σ = 34505544528000. Its totient is φ = 11612441988000.

The previous prime is 20403061347749. The next prime is 20403061347761. The reversal of 20403061347753 is 35774316030402.

20403061347753 is a `hidden beast` number, since 2 + 0 + 40 + 30 + 61 + 3 + 477 + 53 = 666.

It is not a de Polignac number, because 20403061347753 - 22 = 20403061347749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20403061347699 and 20403061347708.

It is not an unprimeable number, because it can be changed into a prime (20403061347793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12391198 + ... + 13940871.

It is an arithmetic number, because the mean of its divisors is an integer number (718865511000).

Almost surely, 220403061347753 is an apocalyptic number.

It is an amenable number.

20403061347753 is a deficient number, since it is larger than the sum of its proper divisors (14102483180247).

20403061347753 is a wasteful number, since it uses less digits than its factorization.

20403061347753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26332347 (or 26332330 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 20403061347753 in words is "twenty trillion, four hundred three billion, sixty-one million, three hundred forty-seven thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 147 251 343 441 753 1029 1757 2259 3087 5271 12299 15813 36897 86093 110691 258279 774837 26332069 78996207 184324483 236988621 552973449 1290271381 1658920347 3870814143 6609349319 9031899667 11612442429 19828047957 27095699001 46265445233 59484143871 81287097003 138796335699 323858116631 416389007097 971574349893 2267006816417 2914723049679 6801020449251 20403061347753