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4540010000 = 24541074243
BaseRepresentation
bin1000011101001101…
…10000111000010000
3102201101211101220112
410032212300320100
533244220310000
62030300100452
7220335306521
oct41646607020
912641741815
104540010000
111a1a798789
12a68534728
13574774a66
14310d62848
151b8893235
hex10e9b0e10

4540010000 has 100 divisors (see below), whose sum is σ = 11097160272. Its totient is φ = 1798608000.

The previous prime is 4540009963. The next prime is 4540010023. The reversal of 4540010000 is 100454.

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

It is a super-2 number, since 2×45400100002 = 41223381600200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1067879 + ... + 1072121.

Almost surely, 24540010000 is an apocalyptic number.

4540010000 is a gapful number since it is divisible by the number (40) 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 4540010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548580136).

4540010000 is an abundant number, since it is smaller than the sum of its proper divisors (6557150272).

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

4540010000 is a wasteful number, since it uses less digits than its factorization.

4540010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4540010000 is about 67379.5963181734. The cubic root of 4540010000 is about 1655.8421613588.

Adding to 4540010000 its reverse (100454), we get a palindrome (4540110454).

The spelling of 4540010000 in words is "four billion, five hundred forty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 625 856 1000 1070 1250 1712 2000 2140 2500 2675 4243 4280 5000 5350 8486 8560 10000 10700 13375 16972 21215 21400 26750 33944 42430 42800 53500 66875 67888 84860 106075 107000 133750 169720 212150 214000 267500 339440 424300 454001 530375 535000 848600 908002 1060750 1070000 1697200 1816004 2121500 2270005 2651875 3632008 4243000 4540010 5303750 7264016 8486000 9080020 10607500 11350025 18160040 21215000 22700050 36320080 42430000 45400100 56750125 90800200 113500250 181600400 227000500 283750625 454001000 567501250 908002000 1135002500 2270005000 4540010000