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10484011000 = 235379132709
BaseRepresentation
bin10011100001110010…
…10100111111111000
31000001122111221101201
421300321110333320
5132432401323000
64452152423544
7520542423511
oct116071247770
930048457351
1010484011000
11449aa50701
1220470a7bb4
13cb1064a08
14716555a08
1541561896a
hex270e54ff8

10484011000 has 64 divisors (see below), whose sum is σ = 24843312000. Its totient is φ = 4140489600.

The previous prime is 10484010941. The next prime is 10484011049. The reversal of 10484011000 is 11048401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12646 + ... + 145354.

It is an arithmetic number, because the mean of its divisors is an integer number (388176750).

Almost surely, 210484011000 is an apocalyptic number.

10484011000 is a gapful number since it is divisible by the number (10) 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 10484011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421656000).

10484011000 is an abundant number, since it is smaller than the sum of its proper divisors (14359301000).

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

10484011000 is a wasteful number, since it uses less digits than its factorization.

10484011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132809 (or 132795 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10484011000 its reverse (11048401), we get a palindrome (10495059401).

It can be divided in two parts, 1048401 and 1000, that added together give a palindrome (1049401).

The spelling of 10484011000 in words is "ten billion, four hundred eighty-four million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 3160 3950 7900 9875 15800 19750 39500 79000 132709 265418 530836 663545 1061672 1327090 2654180 3317725 5308360 6635450 10484011 13270900 16588625 20968022 26541800 33177250 41936044 52420055 66354500 83872088 104840110 132709000 209680220 262100275 419360440 524200550 1048401100 1310501375 2096802200 2621002750 5242005500 10484011000