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69209400645 = 3457113177001
BaseRepresentation
bin100000001110100110…
…0111010010101000101
320121122022200211110000
41000131030322111011
52113220101310040
651443325351513
75000034125160
oct1003514722505
9217568624400
1069209400645
11273959a2080
12114b6108599
1366ac706598
1434c7a16ad7
151c00ee4130
hex101d33a545

69209400645 has 160 divisors (see below), whose sum is σ = 155187622656. Its totient is φ = 28667520000.

The previous prime is 69209400581. The next prime is 69209400707. The reversal of 69209400645 is 54600490296.

It is not a de Polignac number, because 69209400645 - 26 = 69209400581 is a prime.

It is a super-2 number, since 2×692094006452 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 69209400645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9882145 + ... + 9889145.

Almost surely, 269209400645 is an apocalyptic number.

It is an amenable number.

69209400645 is an abundant number, since it is smaller than the sum of its proper divisors (85978222011).

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

69209400645 is a wasteful number, since it uses less digits than its factorization.

69209400645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 69209400645 in words is "sixty-nine billion, two hundred nine million, four hundred thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 317 385 405 495 567 693 891 945 951 1155 1485 1585 2079 2219 2835 2853 3465 3487 4455 4755 6237 6657 7001 8559 10395 10461 11095 14265 17435 19971 21003 24409 25677 31185 31383 33285 35005 42795 49007 52305 59913 63009 73227 77011 94149 99855 105015 122045 128385 147021 156915 179739 189027 219681 231033 245035 282447 299565 315045 366135 385055 441063 470745 539077 567081 659043 693099 735105 898695 945135 1098405 1155165 1323189 1412235 1617231 1977129 2079297 2205315 2219317 2695385 2835405 3295215 3465495 3969567 4851693 6237891 6615945 6657951 8086155 9885645 10396485 11096585 14555079 15535219 19847835 19973853 24258465 24412487 31189455 33289755 43665237 46605657 59921559 72775395 73237461 77676095 99869265 122062435 139816971 170887409 179764677 218326185 219712383 233028285 299607795 366187305 419450913 512662227 659137149 699084855 854437045 898823385 1098561915 1258352739 1537986681 1977411447 2097254565 2563311135 3295685745 4613960043 6291763695 7689933405 9887057235 13841880129 23069800215 69209400645