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2050596990 = 2325132314349
BaseRepresentation
bin111101000111001…
…1010000001111110
312021220120010020200
41322032122001332
513144423100430
6535251224330
7101546533611
oct17216320176
95256503220
102050596990
11962565962
124928a80a6
13268ab1400
141564aa178
15c0059460
hex7a39a07e

2050596990 has 144 divisors (see below), whose sum is σ = 5960822400. Its totient is φ = 488367360.

The previous prime is 2050596913. The next prime is 2050596997. The reversal of 2050596990 is 996950502.

2050596990 is a `hidden beast` number, since 2 + 0 + 50 + 596 + 9 + 9 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (2050596997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469336 + ... + 473684.

It is an arithmetic number, because the mean of its divisors is an integer number (41394600).

Almost surely, 22050596990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050596990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980411200).

2050596990 is an abundant number, since it is smaller than the sum of its proper divisors (3910225410).

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

2050596990 is a wasteful number, since it uses less digits than its factorization.

2050596990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 2050596990 is about 45283.5178624629. The cubic root of 2050596990 is about 1270.4573940969.

The spelling of 2050596990 in words is "two billion, fifty million, five hundred ninety-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 169 186 195 234 279 310 338 390 403 465 507 558 585 806 845 930 1014 1170 1209 1395 1521 1690 2015 2418 2535 2790 3042 3627 4030 4349 5070 5239 6045 7254 7605 8698 10478 12090 13047 15210 15717 18135 21745 26094 26195 31434 36270 39141 43490 47151 52390 56537 65235 78282 78585 94302 113074 130470 134819 157170 169611 195705 235755 269638 282685 339222 391410 404457 471510 508833 565370 674095 734981 808914 848055 1017666 1213371 1348190 1469962 1696110 1752647 2022285 2204943 2426742 2544165 3505294 3674905 4044570 4409886 5088330 5257941 6066855 6614829 7349810 8763235 10515882 11024715 12133710 13229658 15773823 17526470 22049430 22784411 26289705 31547646 33074145 45568822 52579410 66148290 68353233 78869115 113922055 136706466 157738230 205059699 227844110 341766165 410119398 683532330 1025298495 2050596990