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1838340600552 = 2332374621149333
BaseRepresentation
bin11010110000000101101…
…000110111001011101000
320111202002010011110212100
4122300011220313023220
5220104410143204202
63524304431013400
7246546536165421
oct32600550671350
96452063143770
101838340600552
116496aa386325
1225834866a260
1310447c5951b1
1464d94822648
1532c45a0b41c
hex1ac05a372e8

1838340600552 has 96 divisors (see below), whose sum is σ = 5114543152680. Its totient is φ = 596085557760.

The previous prime is 1838340600541. The next prime is 1838340600571. The reversal of 1838340600552 is 2550060438381.

1838340600552 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 34 + 0 + 60 + 0 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1661330233476 + 177010367076 = 1288926^2 + 420726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1838340600498 and 1838340600507.

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 23 ways as a sum of consecutive naturals, for example, 12235678 + ... + 12385010.

Almost surely, 21838340600552 is an apocalyptic number.

1838340600552 is a gapful number since it is divisible by the number (12) 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 1838340600552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557271576340).

1838340600552 is an abundant number, since it is smaller than the sum of its proper divisors (3276202552128).

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

1838340600552 is a wasteful number, since it uses less digits than its factorization.

1838340600552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154003 (or 153996 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1838340600552 in words is "one trillion, eight hundred thirty-eight billion, three hundred forty million, six hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4621 9242 13863 18484 27726 36968 41589 55452 83178 110904 149333 166356 170977 298666 332712 341954 447999 512931 597332 683908 895998 1025862 1194664 1343997 1367816 1538793 1791996 2051724 2687994 3077586 3583992 4103448 5375988 5525321 6155172 10751976 11050642 12310344 16575963 22101284 33151926 44202568 49727889 66303852 99455778 132607704 198911556 397823112 690067793 1380135586 2070203379 2760271172 4140406758 5520542344 6210610137 8280813516 12421220274 16561627032 24842440548 25532508341 49684881096 51065016682 76597525023 102130033364 153195050046 204260066728 229792575069 306390100092 459585150138 612780200184 919170300276 1838340600552