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2071908990 = 233543473797
BaseRepresentation
bin111101101111110…
…1101001001111110
312100101122212211000
41323133231021332
513220402041430
6541332111130
7102225635664
oct17337551176
95311585730
102071908990
119735a1988
12499a654a6
13270333a68
14159256c34
15c1d68e60
hex7b7ed27e

2071908990 has 128 divisors (see below), whose sum is σ = 5775390720. Its totient is φ = 528038784.

The previous prime is 2071908989. The next prime is 2071909001. The reversal of 2071908990 is 998091702.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543772 + ... + 547568.

It is an arithmetic number, because the mean of its divisors is an integer number (45120240).

Almost surely, 22071908990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2071908990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887695360).

2071908990 is an abundant number, since it is smaller than the sum of its proper divisors (3703481730).

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

2071908990 is a wasteful number, since it uses less digits than its factorization.

2071908990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 2071908990 is about 45518.2270085292. The cubic root of 2071908990 is about 1274.8435517381.

The spelling of 2071908990 in words is "two billion, seventy-one million, nine hundred eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 47 54 86 90 94 129 135 141 215 235 258 270 282 387 423 430 470 645 705 774 846 1161 1269 1290 1410 1935 2021 2115 2322 2538 3797 3870 4042 4230 5805 6063 6345 7594 10105 11391 11610 12126 12690 18189 18985 20210 22782 30315 34173 36378 37970 54567 56955 60630 68346 90945 102519 109134 113910 163271 170865 178459 181890 205038 272835 326542 341730 356918 489813 512595 535377 545670 816355 892295 979626 1025190 1070754 1469439 1606131 1632710 1784590 2449065 2676885 2938878 3212262 4408317 4818393 4898130 5353770 7347195 7673737 8030655 8816634 9636786 14694390 15347474 16061310 22041585 23021211 24091965 38368685 44083170 46042422 48183930 69063633 76737370 115106055 138127266 207190899 230212110 345318165 414381798 690636330 1035954495 2071908990