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1045542011346 = 2357839366307
BaseRepresentation
bin11110011011011110010…
…10010000000111010010
310200221201121202022100000
433031233022100013102
5114112232223330341
62120152041510430
7135352335314220
oct17155712200722
93627647668300
101045542011346
113734592320a8
1214a771aa2416
1377795580c51
1438866a85b10
151c2e4a6a8b6
hexf36f2901d2

1045542011346 has 96 divisors (see below), whose sum is σ = 2688056017920. Its totient is φ = 298369424016.

The previous prime is 1045542011341. The next prime is 1045542011387. The reversal of 1045542011346 is 6431102455401.

1045542011346 is a `hidden beast` number, since 10 + 455 + 42 + 0 + 113 + 46 = 666.

1045542011346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1045542011346.

It is not an unprimeable number, because it can be changed into a prime (1045542011341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2671125 + ... + 3037431.

It is an arithmetic number, because the mean of its divisors is an integer number (28000583520).

Almost surely, 21045542011346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045542011346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344028008960).

1045542011346 is an abundant number, since it is smaller than the sum of its proper divisors (1642514006574).

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

1045542011346 is an equidigital number, since it uses as much as digits as its factorization.

1045542011346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367170 (or 367158 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 1045542011346 its reverse (6431102455401), we get a palindrome (7476644466747).

The spelling of 1045542011346 in words is "one trillion, forty-five billion, five hundred forty-two million, eleven thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 839 1134 1678 1701 2517 3402 5034 5873 7551 11746 15102 17619 22653 35238 45306 52857 67959 105714 135918 158571 203877 317142 366307 407754 475713 732614 951426 1098921 1427139 2197842 2564149 2854278 3296763 5128298 6593526 7692447 9890289 15384894 19780578 23077341 29670867 46154682 59341734 69232023 89012601 138464046 178025202 207696069 307331573 415392138 614663146 623088207 921994719 1246176414 1843989438 2151321011 2765984157 4302642022 5531968314 6453963033 8297952471 12907926066 16595904942 19361889099 24893857413 38723778198 49787714826 58085667297 74681572239 116171334594 149363144478 174257001891 348514003782 522771005673 1045542011346