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1666122898560 = 27353803228181
BaseRepresentation
bin11000001111101100101…
…010011101110010000000
312220021112222011202112020
4120033230222131302000
5204244204430223220
63313223432001440
7231242035652661
oct30175452356200
95807488152466
101666122898560
11592664a3889a
1222aaa5230280
13c116504c313
145a8d8421368
152d516649040
hex183eca9dc80

1666122898560 has 128 divisors (see below), whose sum is σ = 5312186487360. Its totient is φ = 444180664320.

The previous prime is 1666122898439. The next prime is 1666122898591. The reversal of 1666122898560 is 658982216661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1666122898494 and 1666122898503.

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 15 ways as a sum of consecutive naturals, for example, 7187670 + ... + 7415850.

Almost surely, 21666122898560 is an apocalyptic number.

1666122898560 is a gapful number since it is divisible by the number (10) 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 1666122898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656093243680).

1666122898560 is an abundant number, since it is smaller than the sum of its proper divisors (3646063588800).

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

1666122898560 is a wasteful number, since it uses less digits than its factorization.

1666122898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232006 (or 231994 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 1666122898560 in words is "one trillion, six hundred sixty-six billion, one hundred twenty-two million, eight hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3803 7606 11409 15212 19015 22818 30424 38030 45636 57045 60848 76060 91272 114090 121696 152120 182544 228180 228181 243392 304240 365088 456360 456362 486784 608480 684543 730176 912720 912724 1140905 1216960 1369086 1460352 1825440 1825448 2281810 2433920 2738172 3422715 3650880 3650896 4563620 5476344 6845430 7301760 7301792 9127240 10952688 13690860 14603584 18254480 21905376 27381720 29207168 36508960 43810752 54763440 73017920 87621504 109526880 146035840 219053760 438107520 867772343 1735544686 2603317029 3471089372 4338861715 5206634058 6942178744 8677723430 10413268116 13016585145 13884357488 17355446860 20826536232 26033170290 27768714976 34710893720 41653072464 52066340580 55537429952 69421787440 83306144928 104132681160 111074859904 138843574880 166612289856 208265362320 277687149760 333224579712 416530724640 555374299520 833061449280 1666122898560