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12923269065 = 335726133187
BaseRepresentation
bin11000000100100100…
…10110111111001001
31020100122102002102000
430002102112333021
5202431324102230
65534210301213
7635151655200
oct140222267711
936318362360
1012923269065
115531937363
122607b87809
1312ac517595
148a84b4237
15509846b60
hex302496fc9

12923269065 has 96 divisors (see below), whose sum is σ = 26777669760. Its totient is φ = 5896291968.

The previous prime is 12923269033. The next prime is 12923269109. The reversal of 12923269065 is 56096232921.

It is not a de Polignac number, because 12923269065 - 25 = 12923269033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12923269065.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4053402 + ... + 4056588.

It is an arithmetic number, because the mean of its divisors is an integer number (278934060).

Almost surely, 212923269065 is an apocalyptic number.

12923269065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12923269065 is an abundant number, since it is smaller than the sum of its proper divisors (13854400695).

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

12923269065 is a wasteful number, since it uses less digits than its factorization.

12923269065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12923269065 in words is "twelve billion, nine hundred twenty-three million, two hundred sixty-nine thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 613 735 945 1323 1839 2205 3065 3187 4291 5517 6615 9195 9561 12873 15935 16551 21455 22309 27585 28683 30037 38619 47805 64365 66927 82755 86049 90111 111545 115857 143415 150185 156163 193095 200781 270333 334635 430245 450555 468489 579285 602343 780815 810999 1003905 1351665 1405467 1953631 2342445 3011715 4054995 4216401 5860893 7027335 9768155 13675417 17582679 21082005 29304465 41026251 52748037 68377085 87913395 95727919 123078753 205131255 263740185 287183757 369236259 478639595 615393765 861551271 1435918785 1846181295 2584653813 4307756355 12923269065