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3561656042052 = 22322329179828649
BaseRepresentation
bin110011110101000011001…
…111100100001001000100
3110121111020221012110001200
4303311003033210021010
5431323232421321202
611324111401422500
7515215104562203
oct63650317441104
913544227173050
103561656042052
111153542a90129
1249633349aa30
131cab2a5331a4
14c45568d123a
15629a8198e1c
hex33d433e4244

3561656042052 has 144 divisors (see below), whose sum is σ = 9772766640000. Its totient is φ = 1090315150848.

The previous prime is 3561656042039. The next prime is 3561656042101. The reversal of 3561656042052 is 2502406561653.

3561656042052 is a `hidden beast` number, since 3 + 5 + 6 + 16 + 5 + 604 + 20 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3561656041989 and 3561656042007.

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 47 ways as a sum of consecutive naturals, for example, 3883824 + ... + 4712472.

It is an arithmetic number, because the mean of its divisors is an integer number (67866435000).

Almost surely, 23561656042052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3561656042052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886383320000).

3561656042052 is an abundant number, since it is smaller than the sum of its proper divisors (6211110597948).

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

3561656042052 is a wasteful number, since it uses less digits than its factorization.

3561656042052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828890 (or 828885 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 3561656042052 in words is "three trillion, five hundred sixty-one billion, six hundred fifty-six million, forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 179 207 261 276 348 358 414 522 537 667 716 828 1044 1074 1334 1611 2001 2148 2668 3222 4002 4117 5191 6003 6444 8004 8234 10382 12006 12351 15573 16468 20764 24012 24702 31146 37053 46719 49404 62292 74106 93438 119393 148212 186876 238786 358179 477572 716358 828649 1074537 1432716 1657298 2149074 2485947 3314596 4298148 4971894 7457841 9943788 14915682 19058927 24030821 29831364 38117854 48061642 57176781 72092463 76235708 96123284 114353562 144184926 148328171 171530343 216277389 228707124 288369852 296656342 343060686 432554778 444984513 552708883 593312684 686121372 865109556 889969026 1105417766 1334953539 1658126649 1779938052 2210835532 2669907078 3316253298 3411547933 4301516959 4974379947 5339814156 6632506596 6823095866 8603033918 9948759894 10234643799 12904550877 13646191732 17206067836 19897519788 20469287598 25809101754 30703931397 38713652631 40938575196 51618203508 61407862794 77427305262 98934890057 122815725588 154854610524 197869780114 296804670171 395739560228 593609340342 890414010513 1187218680684 1780828021026 3561656042052