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23048217351090 = 23351935291273117
BaseRepresentation
bin1010011110110010101001…
…10011101101001110110010
310000121101110220012000011000
411033121110303231032302
511010110222120213330
6121004112130502430
74566115212011421
oct517312463551662
9100541426160130
1023048217351090
11738676a9132a8
122702a95434a16
13cb258c45a0c9
1459977ac072b8
1529e80c6e2560
hex14f654ced3b2

23048217351090 has 128 divisors (see below), whose sum is σ = 64715134176000. Its totient is φ = 5821053009408.

The previous prime is 23048217351077. The next prime is 23048217351119. The reversal of 23048217351090 is 9015371284032.

It is a happy number.

23048217351090 is a `hidden beast` number, since 2 + 3 + 0 + 48 + 2 + 1 + 7 + 3 + 510 + 90 = 666.

It is a super-2 number, since 2×230482173510902 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17467212 + ... + 18740328.

It is an arithmetic number, because the mean of its divisors is an integer number (505586985750).

Almost surely, 223048217351090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23048217351090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32357567088000).

23048217351090 is an abundant number, since it is smaller than the sum of its proper divisors (41666916824910).

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

23048217351090 is a wasteful number, since it uses less digits than its factorization.

23048217351090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276681 (or 1276675 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 23048217351090 in words is "twenty-three trillion, forty-eight billion, two hundred seventeen million, three hundred fifty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 3529 5130 7058 10587 17645 21174 31761 35290 52935 63522 67051 95283 105870 134102 158805 190566 201153 317610 335255 402306 476415 603459 670510 952830 1005765 1206918 1273117 1810377 2011530 2546234 3017295 3620754 3819351 6034590 6365585 7638702 9051885 11458053 12731170 18103770 19096755 22916106 24189223 34374159 38193510 48378446 57290265 68748318 72567669 114580530 120946115 145135338 171870795 217703007 241892230 343741590 362838345 435406014 653109021 725676690 1088515035 1306218042 2177030070 3265545105 4492829893 6531090210 8985659786 13478489679 22464149465 26956979358 40435469037 44928298930 67392448395 80870938074 85363767967 121306407111 134784896790 170727535934 202177345185 242612814222 256091303901 404354690370 426818839835 512182607802 606532035555 768273911703 853637679670 1213064071110 1280456519505 1536547823406 2304821735109 2560913039010 3841369558515 4609643470218 7682739117030 11524108675545 23048217351090