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165020050206990 = 23351164818573107
BaseRepresentation
bin100101100001010110111001…
…011110010011000100001110
3210122021202121000211012222000
4211201112321132103010032
5133112142030323110430
61342545055311133130
746521206452036116
oct4541267136230416
9718252530735860
10165020050206990
1148642679307040
1216611ba8b141a6
1371104299919a4
142ca7027b26046
15141283be2ae60
hex9615b979310e

165020050206990 has 128 divisors (see below), whose sum is σ = 480132455523840. Its totient is φ = 39998683353600.

The previous prime is 165020050206941. The next prime is 165020050207013. The reversal of 165020050206990 is 99602050020561.

It is a happy number.

165020050206990 is a `hidden beast` number, since 1 + 6 + 50 + 2 + 0 + 0 + 502 + 0 + 6 + 9 + 90 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14962017 + ... + 23535123.

It is an arithmetic number, because the mean of its divisors is an integer number (3751034808780).

Almost surely, 2165020050206990 is an apocalyptic number.

165020050206990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165020050206990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240066227761920).

165020050206990 is an abundant number, since it is smaller than the sum of its proper divisors (315112405316850).

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

165020050206990 is a wasteful number, since it uses less digits than its factorization.

165020050206990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579615 (or 8579609 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 165020050206990 in words is "one hundred sixty-five trillion, twenty billion, fifty million, two hundred six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 6481 12962 19443 32405 38886 58329 64810 71291 97215 116658 142582 174987 194430 213873 291645 349974 356455 427746 583290 641619 712910 874935 1069365 1283238 1749870 1924857 2138730 3208095 3849714 6416190 8573107 9624285 17146214 19248570 25719321 42865535 51438642 77157963 85731070 94304177 128596605 154315926 188608354 231473889 257193210 282912531 385789815 462947778 471520885 565825062 771579630 848737593 943041770 1157369445 1414562655 1697475186 2314738890 2546212779 2829125310 4243687965 5092425558 8487375930 12731063895 25462127790 55562306467 111124612934 166686919401 277811532335 333373838802 500060758203 555623064670 611185371137 833434597005 1000121516406 1222370742274 1500182274609 1666869194010 1833556113411 2500303791015 3000364549218 3055926855685 3667112226822 5000607582030 5500668340233 6111853711370 7500911373045 9167780567055 11001336680466 15001822746090 16502005020699 18335561134110 27503341701165 33004010041398 55006683402330 82510025103495 165020050206990