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2054510000 = 2454415011
BaseRepresentation
bin111101001110101…
…0101010110110000
312022011220220212222
41322131111112300
513201423310000
6535511140212
7101625022034
oct17235252660
95264826788
102054510000
11964798854
12494074668
132698514ba
14156c081c4
15c057da85
hex7a7555b0

2054510000 has 100 divisors (see below), whose sum is σ = 5096512344. Its totient is φ = 801600000.

The previous prime is 2054509999. The next prime is 2054510009. The reversal of 2054510000 is 154502.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×20545100002 = 8442022680200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2054510009) 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 19 ways as a sum of consecutive naturals, for example, 407495 + ... + 412505.

Almost surely, 22054510000 is an apocalyptic number.

2054510000 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 2054510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548256172).

2054510000 is an abundant number, since it is smaller than the sum of its proper divisors (3042002344).

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

2054510000 is an equidigital number, since it uses as much as digits as its factorization.

2054510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2054510000 is about 45326.7029464972. The cubic root of 2054510000 is about 1271.2649887835.

Adding to 2054510000 its reverse (154502), we get a palindrome (2054664502).

The spelling of 2054510000 in words is "two billion, fifty-four million, five hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5011 5125 8200 10000 10022 10250 16400 20044 20500 25055 25625 40088 41000 50110 51250 80176 82000 100220 102500 125275 200440 205000 205451 250550 400880 410000 410902 501100 626375 821804 1002200 1027255 1252750 1643608 2004400 2054510 2505500 3131875 3287216 4109020 5011000 5136275 6263750 8218040 10022000 10272550 12527500 16436080 20545100 25055000 25681375 41090200 50110000 51362750 82180400 102725500 128406875 205451000 256813750 410902000 513627500 1027255000 2054510000