Search a number
-
+
2127001852980 = 2232511816676961
BaseRepresentation
bin11110111100111011001…
…100001001110000110100
321112100011102020110001200
4132330323030021300310
5234322044433243410
64305044155252500
7306446042305014
oct36747314116064
97470142213050
102127001852980
11750069105764
122a428874a130
13125763252bc4
1474d39ab5c44
153a4dca163c0
hex1ef3b309c34

2127001852980 has 36 divisors (see below), whose sum is σ = 6451905621252. Its totient is φ = 567200494080.

The previous prime is 2127001852961. The next prime is 2127001852999. The reversal of 2127001852980 is 892581007212.

2127001852980 is a `hidden beast` number, since 21 + 27 + 0 + 0 + 1 + 8 + 529 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2127001852961) and next prime (2127001852999).

It can be written as a sum of positive squares in 2 ways, for example, as 1330188542244 + 796813310736 = 1153338^2 + 892644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5908338301 + ... + 5908338660.

Almost surely, 22127001852980 is an apocalyptic number.

2127001852980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2127001852980 is an abundant number, since it is smaller than the sum of its proper divisors (4324903768272).

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

2127001852980 is a wasteful number, since it uses less digits than its factorization.

2127001852980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11816676976 (or 11816676971 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 2127001852980 in words is "two trillion, one hundred twenty-seven billion, one million, eight hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11816676961 23633353922 35450030883 47266707844 59083384805 70900061766 106350092649 118166769610 141800123532 177250154415 212700185298 236333539220 354500308830 425400370596 531750463245 709000617660 1063500926490 2127001852980