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205350452315041 = 11172968355441549
BaseRepresentation
bin101110101100001111100000…
…110000111100001110100001
3222221002022102002121100221111
4232230033200300330032201
5203403430211243040131
62004424410115223321
761153036432515655
oct5654174060741641
9887068362540844
10205350452315041
115a481701947140
121b046362ba7b41
138a7760684c0a7
14389d02cd40a65
1518b19833adab1
hexbac3e0c3c3a1

205350452315041 has 32 divisors (see below), whose sum is σ = 245734690896000. Its totient is φ = 169393888097280.

The previous prime is 205350452314961. The next prime is 205350452315069. The reversal of 205350452315041 is 140513254053502.

It is not a de Polignac number, because 205350452315041 - 221 = 205350450217889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205350452314985 and 205350452315003.

It is not an unprimeable number, because it can be changed into a prime (205350452315641) 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 31 ways as a sum of consecutive naturals, for example, 24016866 + ... + 31424683.

It is an arithmetic number, because the mean of its divisors is an integer number (7679209090500).

Almost surely, 2205350452315041 is an apocalyptic number.

It is an amenable number.

205350452315041 is a deficient number, since it is larger than the sum of its proper divisors (40384238580959).

205350452315041 is a wasteful number, since it uses less digits than its factorization.

205350452315041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55442289.

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 205350452315041 in words is "two hundred five trillion, three hundred fifty billion, four hundred fifty-two million, three hundred fifteen thousand, forty-one".

Divisors: 1 11 17 29 187 319 493 683 5423 7513 11611 19807 127721 217877 336719 3703909 55441549 609857039 942506333 1607804921 10367569663 17685854131 27332683657 37866577967 300659520227 416532357637 643731825439 1098130761043 7081050079829 12079438371473 18668222937731 205350452315041