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34206211611 = 32111323165951
BaseRepresentation
bin11111110110110110…
…010101111000011011
310021021220000120222100
4133312312111320123
51030023242232421
623414125454443
72320443000315
oct376666257033
9107256016870
1034206211611
1113563573080
126767711423
1332c1937200
141926d1a7b5
15d53033c26
hex7f6d95e1b

34206211611 has 72 divisors (see below), whose sum is σ = 60249526272. Its totient is φ = 18518760000.

The previous prime is 34206211609. The next prime is 34206211657. The reversal of 34206211611 is 11611260243.

It is a happy number.

34206211611 is a `hidden beast` number, since 3 + 4 + 20 + 6 + 21 + 1 + 611 = 666.

It is not a de Polignac number, because 34206211611 - 21 = 34206211609 is a prime.

It is a super-2 number, since 2×342062116112 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34206211681) 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 71 ways as a sum of consecutive naturals, for example, 485686 + ... + 551636.

It is an arithmetic number, because the mean of its divisors is an integer number (836798976).

Almost surely, 234206211611 is an apocalyptic number.

34206211611 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34206211611 is a deficient number, since it is larger than the sum of its proper divisors (26043314661).

34206211611 is a wasteful number, since it uses less digits than its factorization.

34206211611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66025 (or 66009 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 34206211611 its reverse (11611260243), we get a palindrome (45817471854).

The spelling of 34206211611 in words is "thirty-four billion, two hundred six million, two hundred eleven thousand, six hundred eleven".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 169 279 341 403 429 507 1023 1209 1287 1521 1859 3069 3627 4433 5239 5577 13299 15717 16731 39897 47151 57629 65951 172887 197853 518661 593559 725461 857363 2044481 2176383 2572089 6133443 6529149 7716267 9430993 11145719 18400329 22489291 26578253 28292979 33437157 67467873 79734759 84878937 100311471 122602909 202403619 239204277 292360783 345517289 367808727 877082349 1036551867 1103426181 2631247047 3109655601 3800690179 11402070537 34206211611