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11837206749 = 3233119927809
BaseRepresentation
bin10110000011000110…
…10111000011011101
31010112221210101222210
423001203113003131
5143220311103444
65234332231033
7566223411564
oct130143270335
933487711883
1011837206749
1150248816a5
12236430b479
131168506864
14804162bdb
154943157b9
hex2c18d70dd

11837206749 has 32 divisors (see below), whose sum is σ = 17086464000. Its totient is φ = 7267898880.

The previous prime is 11837206727. The next prime is 11837206783. The reversal of 11837206749 is 94760273811.

It is a happy number.

11837206749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11837206749 - 215 = 11837173981 is a prime.

It is a super-2 number, since 2×118372067492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11837206698 and 11837206707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11837206349) 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 31 ways as a sum of consecutive naturals, for example, 411757 + ... + 439565.

It is an arithmetic number, because the mean of its divisors is an integer number (533952000).

Almost surely, 211837206749 is an apocalyptic number.

It is an amenable number.

11837206749 is a deficient number, since it is larger than the sum of its proper divisors (5249257251).

11837206749 is a wasteful number, since it uses less digits than its factorization.

11837206749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28065.

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 11837206749 in words is "eleven billion, eight hundred thirty-seven million, two hundred six thousand, seven hundred forty-nine".

Divisors: 1 3 23 31 69 93 199 597 713 2139 4577 6169 13731 18507 27809 83427 141887 425661 639607 862079 1918821 2586237 5533991 16601973 19827817 59483451 127281793 171553721 381845379 514661163 3945735583 11837206749