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1004332552340 = 225137974846697
BaseRepresentation
bin11101001110101101110…
…00101001000010010100
310120000100122212212222112
432213112320221002110
5112423333113133330
62045214540050152
7132363203560655
oct16472670510224
93500318785875
101004332552340
11357a315a7667
12142790b33958
1373928a74990
1436877a0552c
151b1d1cca795
hexe9d6e29094

1004332552340 has 48 divisors (see below), whose sum is σ = 2274187022352. Its totient is φ = 370365121536.

The previous prime is 1004332552319. The next prime is 1004332552343. The reversal of 1004332552340 is 432552334001.

It can be written as a sum of positive squares in 8 ways, for example, as 34887515524 + 969445036816 = 186782^2 + 984604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004332552297 and 1004332552306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004332552343) by changing a digit.

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, 2216129 + ... + 2630568.

It is an arithmetic number, because the mean of its divisors is an integer number (47378896299).

Almost surely, 21004332552340 is an apocalyptic number.

1004332552340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004332552340 is an abundant number, since it is smaller than the sum of its proper divisors (1269854470012).

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

1004332552340 is a wasteful number, since it uses less digits than its factorization.

1004332552340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847516 (or 4847514 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 1004332552340 its reverse (432552334001), we get a palindrome (1436884886341).

The spelling of 1004332552340 in words is "one trillion, four billion, three hundred thirty-two million, five hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 797 1594 3188 3985 7970 10361 15940 20722 41444 51805 103610 207220 4846697 9693394 19386788 24233485 48466970 63007061 96933940 126014122 252028244 315035305 630070610 1260141220 3862817509 7725635018 15451270036 19314087545 38628175090 50216627617 77256350180 100433255234 200866510468 251083138085 502166276170 1004332552340