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1555056561006 = 2321367728313619
BaseRepresentation
bin10110101000010000100…
…110000000101101101110
312111122212120021020000200
4112220100212000231232
5200434223434423011
63150214430534330
7220230515450454
oct26502046005556
95448776236020
101555056561006
1154a54a985583
122114693673a6
13b3844959760
145539d7829d4
152a6b5b19856
hex16a10980b6e

1555056561006 has 96 divisors (see below), whose sum is σ = 3683397594240. Its totient is φ = 471238143552.

The previous prime is 1555056560999. The next prime is 1555056561007. The reversal of 1555056561006 is 6001656505551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1555056561007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114176065 + ... + 114189683.

It is an arithmetic number, because the mean of its divisors is an integer number (38368724940).

Almost surely, 21555056561006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1555056561006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841698797120).

1555056561006 is an abundant number, since it is smaller than the sum of its proper divisors (2128341033234).

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

1555056561006 is a wasteful number, since it uses less digits than its factorization.

1555056561006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20990 (or 20987 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 1555056561006 in words is "one trillion, five hundred fifty-five billion, fifty-six million, five hundred sixty-one thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 201 234 402 603 871 1206 1742 2613 5226 7283 7839 13619 14566 15678 21849 27238 40857 43698 65547 81714 94679 122571 131094 177047 189358 245142 284037 354094 487961 531141 568074 852111 912473 975922 1062282 1463883 1593423 1704222 1824946 2737419 2927766 3186846 4391649 5474838 6343493 8212257 8783298 11862149 12686986 16424514 19030479 23724298 35586447 38060958 57091437 71172894 99187177 106759341 114182874 198374354 213518682 297561531 595123062 892684593 1289433301 1785369186 2578866602 3868299903 6645540859 7736599806 11604899709 13291081718 19936622577 23209799418 39873245154 59809867731 86392031167 119619735462 172784062334 259176093501 518352187002 777528280503 1555056561006