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214465410511 = 111741157178169
BaseRepresentation
bin1100011110111100100…
…0100111010111001111
3202111120110111200021021
43013233020213113033
512003211121114021
6242305110015011
721331436624332
oct3075710472717
9674513450237
10214465410511
1182a55151220
1235694047467
13172bb192191
14a547308619
1558a338bc41
hex31ef2275cf

214465410511 has 32 divisors (see below), whose sum is σ = 255384601920. Its totient is φ = 177882931200.

The previous prime is 214465410503. The next prime is 214465410589. The reversal of 214465410511 is 115014564412.

It is a cyclic number.

It is not a de Polignac number, because 214465410511 - 23 = 214465410503 is a prime.

It is a super-2 number, since 2×2144654105112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214465410611) 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, 1114635 + ... + 1292803.

It is an arithmetic number, because the mean of its divisors is an integer number (7980768810).

Almost surely, 2214465410511 is an apocalyptic number.

214465410511 is a deficient number, since it is larger than the sum of its proper divisors (40919191409).

214465410511 is a wasteful number, since it uses less digits than its factorization.

214465410511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178395.

The product of its (nonzero) digits is 19200, while the sum is 34.

Adding to 214465410511 its reverse (115014564412), we get a palindrome (329479974923).

The spelling of 214465410511 in words is "two hundred fourteen billion, four hundred sixty-five million, four hundred ten thousand, five hundred eleven".

Divisors: 1 11 17 41 157 187 451 697 1727 2669 6437 7667 29359 70807 109429 178169 1203719 1959859 3028873 7304929 27972533 33317603 80354219 124183793 307697863 475533061 1146873853 1366021723 5230863671 12615612383 19496855501 214465410511