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611005106052 = 2232112953204903
BaseRepresentation
bin10001110010000101011…
…11100000011110000100
32011102002222220100220200
420321002233200132010
540002314301343202
61144405235530500
762100163465215
oct10710257403604
92142088810820
10611005106052
112161424a9670
129a500459a30
1345804951c93
1421803ac340c
1510d610b9e1c
hex8e42be0784

611005106052 has 72 divisors (see below), whose sum is σ = 1742992655040. Its totient is φ = 178768470720.

The previous prime is 611005106051. The next prime is 611005106057. The reversal of 611005106052 is 250601500116.

It is a happy number.

611005106052 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 0 + 51 + 0 + 605 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (611005106051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26590968 + ... + 26613935.

It is an arithmetic number, because the mean of its divisors is an integer number (24208231320).

Almost surely, 2611005106052 is an apocalyptic number.

It is an amenable number.

611005106052 is an abundant number, since it is smaller than the sum of its proper divisors (1131987548988).

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

611005106052 is a wasteful number, since it uses less digits than its factorization.

611005106052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53204953 (or 53204948 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 611005106052 its reverse (250601500116), we get a palindrome (861606606168).

The spelling of 611005106052 in words is "six hundred eleven billion, five million, one hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 53204903 106409806 159614709 212819612 319229418 478844127 585253933 638458836 957688254 1170507866 1542942187 1755761799 1915376508 2341015732 3085884374 3511523598 4628826561 5267285397 6171768748 7023047196 9257653122 10534570794 13886479683 16972364057 18515306244 21069141588 27772959366 33944728114 50917092171 55545918732 67889456228 101834184342 152751276513 203668368684 305502553026 611005106052