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11728276686 = 2337293134513
BaseRepresentation
bin10101110110000111…
…10100110011001110
31010021100211012001000
422323003310303032
5143004414323221
65215441401130
7563431464330
oct127303646316
933240735030
1011728276686
114a79340955
1223339391a6
13114ba874b9
147d38c9450
15489999e26
hex2bb0f4cce

11728276686 has 128 divisors (see below), whose sum is σ = 31808102400. Its totient is φ = 3130928640.

The previous prime is 11728276669. The next prime is 11728276697. The reversal of 11728276686 is 68667282711.

It is a super-2 number, since 2×117282766862 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322566 + ... + 357078.

It is an arithmetic number, because the mean of its divisors is an integer number (248500800).

Almost surely, 211728276686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11728276686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15904051200).

11728276686 is an abundant number, since it is smaller than the sum of its proper divisors (20079825714).

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

11728276686 is a wasteful number, since it uses less digits than its factorization.

11728276686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34591 (or 34585 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 11728276686 in words is "eleven billion, seven hundred twenty-eight million, two hundred seventy-six thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 31 42 54 58 62 63 87 93 126 174 186 189 203 217 261 279 378 406 434 522 558 609 651 783 837 899 1218 1302 1566 1674 1798 1827 1953 2697 3654 3906 5394 5481 5859 6293 8091 10962 11718 12586 16182 18879 24273 34513 37758 48546 56637 69026 103539 113274 169911 207078 241591 310617 339822 483182 621234 724773 931851 1000877 1069903 1449546 1863702 2001754 2139806 2174319 3002631 3209709 4348638 6005262 6419418 6522957 7006139 7489321 9007893 9629127 13045914 14012278 14978642 18015786 19258254 21018417 22467963 27023679 28887381 31027187 42036834 44935926 54047358 57774762 62054374 63055251 67403889 93081561 126110502 134807778 186163122 189165753 202211667 217190309 279244683 378331506 404423334 434380618 558489366 651570927 837734049 1303141854 1675468098 1954712781 3909425562 5864138343 11728276686