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2072080052136 = 2332241131193501
BaseRepresentation
bin11110001001110001100…
…110000110111110101000
321100002101211011212221200
4132021301212012332220
5232422104443132021
64223522254404200
7302463034560453
oct36116146067650
97302354155850
102072080052136
11729845196906
122956bb500660
1312051c9040b3
147240983c49a
1538d76015126
hex1e271986fa8

2072080052136 has 48 divisors (see below), whose sum is σ = 5612120909460. Its totient is φ = 690664128000.

The previous prime is 2072080052123. The next prime is 2072080052143. The reversal of 2072080052136 is 6312500802702.

2072080052136 is a `hidden beast` number, since 2 + 0 + 7 + 20 + 80 + 0 + 521 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1959188084100 + 112891968036 = 1399710^2 + 335994^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2072080052136.

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, 1139386 + ... + 2332886.

Almost surely, 22072080052136 is an apocalyptic number.

It is an amenable number.

2072080052136 is an abundant number, since it is smaller than the sum of its proper divisors (3540040857324).

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

2072080052136 is a wasteful number, since it uses less digits than its factorization.

2072080052136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217626 (or 1217619 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 2072080052136 its reverse (6312500802702), we get a palindrome (8384580854838).

The spelling of 2072080052136 in words is "two trillion, seventy-two billion, eighty million, fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 24113 48226 72339 96452 144678 192904 217017 289356 434034 578712 868068 1193501 1736136 2387002 3580503 4774004 7161006 9548008 10741509 14322012 21483018 28644024 42966036 85932072 28778889613 57557779226 86336668839 115115558452 172673337678 230231116904 259010006517 345346675356 518020013034 690693350712 1036040026068 2072080052136