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12428246673 = 32233167137211
BaseRepresentation
bin10111001001100011…
…11111111010010001
31012002010221100100100
423210301333322101
5200423112343143
65413124243013
7616661232213
oct134461777221
935063840310
1012428246673
1152a846a747
1224aa240469
131230ab601b
1485c8565b3
154cb1636d3
hex2e4c7fe91

12428246673 has 96 divisors (see below), whose sum is σ = 19862249472. Its totient is φ = 7464441600.

The previous prime is 12428246671. The next prime is 12428246681. The reversal of 12428246673 is 37664282421.

It is a happy number.

12428246673 is a `hidden beast` number, since 1 + 2 + 42 + 82 + 466 + 73 = 666.

It is not a de Polignac number, because 12428246673 - 21 = 12428246671 is a prime.

It is a super-2 number, since 2×124282466732 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12428246671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58901538 + ... + 58901748.

It is an arithmetic number, because the mean of its divisors is an integer number (206898432).

Almost surely, 212428246673 is an apocalyptic number.

It is an amenable number.

12428246673 is a deficient number, since it is larger than the sum of its proper divisors (7434002799).

12428246673 is a wasteful number, since it uses less digits than its factorization.

12428246673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 12428246673 in words is "twelve billion, four hundred twenty-eight million, two hundred forty-six thousand, six hundred seventy-three".

Divisors: 1 3 9 23 31 67 69 93 137 201 207 211 279 411 603 633 713 1233 1541 1899 2077 2139 3151 4247 4623 4853 6231 6417 6541 9179 9453 12741 13869 14137 14559 18693 19623 27537 28359 28907 38223 42411 43677 47771 58869 82611 86721 97681 127233 143313 150443 211117 260163 284549 293043 325151 429939 438247 451329 633351 664861 853647 879129 896117 975453 1314741 1353987 1900053 1936769 1994583 2560941 2688351 2926359 3944223 5810307 5983749 6544627 8065053 10079681 17430921 19633881 20610691 30239043 44545687 58901643 60039839 61832073 90717129 133637061 180119517 185496219 400911183 540358551 1380916297 4142748891 12428246673