Search a number
-
+
2028085564700 = 22521321193100591
BaseRepresentation
bin11101100000110011010…
…100011101010100011100
321011212211202210100211002
4131200303110131110130
5231212004401032300
64151404544045432
7266344564602626
oct35406324352434
97155752710732
102028085564700
1171211947a288
12289081903878
1311932b110300
1470234953c16
1537b4d9e65d5
hex1d83351d51c

2028085564700 has 108 divisors (see below), whose sum is σ = 4769563040928. Its totient is φ = 748196467200.

The previous prime is 2028085564699. The next prime is 2028085564711. The reversal of 2028085564700 is 74655808202.

It is a super-2 number, since 2×20280855647002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20111405 + ... + 20211995.

Almost surely, 22028085564700 is an apocalyptic number.

2028085564700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028085564700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384781520464).

2028085564700 is an abundant number, since it is smaller than the sum of its proper divisors (2741477476228).

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

2028085564700 is a wasteful number, since it uses less digits than its factorization.

2028085564700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101824 (or 101804 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 2028085564700 in words is "two trillion, twenty-eight billion, eighty-five million, five hundred sixty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1193 1300 1690 2386 3380 4225 4772 5965 8450 11930 15509 16900 23860 29825 31018 59650 62036 77545 100591 119300 155090 201182 201617 310180 387725 402364 403234 502955 775450 806468 1005910 1008085 1307683 1550900 2011820 2016170 2514775 2615366 4032340 5029550 5040425 5230732 6538415 10059100 10080850 13076830 16999879 20161700 26153660 32692075 33999758 65384150 67999516 84999395 120005063 130768300 169998790 240010126 339997580 424996975 480020252 600025315 849993950 1200050630 1560065819 1699987900 2400101260 3000126575 3120131638 6000253150 6240263276 7800329095 12000506300 15600658190 20280855647 31201316380 39001645475 40561711294 78003290950 81123422588 101404278235 156006581900 202808556470 405617112940 507021391175 1014042782350 2028085564700