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2169541221390 = 2335312141121067
BaseRepresentation
bin11111100100100010101…
…110111101110000001110
321200101222001120021011000
4133210202232331300032
5241021210023041030
64340401245441130
7312513153052164
oct37444256756016
97611861507130
102169541221390
11767108506884
122b057ab701a6
13129782439b0a
1477013621234
153b67c403860
hex1f922bbdc0e

2169541221390 has 128 divisors (see below), whose sum is σ = 5974909194240. Its totient is φ = 559615478400.

The previous prime is 2169541221377. The next prime is 2169541221403. The reversal of 2169541221390 is 931221459612.

It is a happy number.

2169541221390 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 541 + 2 + 2 + 13 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (2169541221377) and next prime (2169541221403).

It is a super-2 number, since 2×21695412213902 (a number of 25 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 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, 17859637 + ... + 17980703.

It is an arithmetic number, because the mean of its divisors is an integer number (46678978080).

Almost surely, 22169541221390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2169541221390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987454597120).

2169541221390 is an abundant number, since it is smaller than the sum of its proper divisors (3805367972850).

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

2169541221390 is a wasteful number, since it uses less digits than its factorization.

2169541221390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123255 (or 123249 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2169541221390 in words is "two trillion, one hundred sixty-nine billion, five hundred forty-one million, two hundred twenty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2141 2790 4185 4282 6423 8370 10705 12846 19269 21410 32115 38538 57807 64230 66371 96345 115614 121067 132742 192690 199113 242134 289035 331855 363201 398226 578070 597339 605335 663710 726402 995565 1089603 1194678 1210670 1792017 1816005 1991130 2179206 2986695 3268809 3584034 3632010 3753077 5448015 5973390 6537618 7506154 8960085 10896030 11259231 16344045 17920170 18765385 22518462 32688090 33777693 37530770 56296155 67555386 101333079 112592310 168888465 202666158 259204447 337776930 506665395 518408894 777613341 1013330790 1296022235 1555226682 2332840023 2592044470 3888066705 4665680046 6998520069 7776133410 8035337857 11664200115 13997040138 16070675714 23328400230 24106013571 34992600345 40176689285 48212027142 69985200690 72318040713 80353378570 120530067855 144636081426 216954122139 241060135710 361590203565 433908244278 723180407130 1084770610695 2169541221390