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2153798071191 = 331343731954819
BaseRepresentation
bin11111010101111000010…
…111100111001110010111
321121220022220001101001000
4133111320113213032113
5240241434301234231
64325235143234343
7311415060353124
oct37257027471627
97556286041030
102153798071191
11760469953048
122a95067489b3
13128143954020
147635c82d74b
153b05a2466e6
hex1f5785e7397

2153798071191 has 64 divisors (see below), whose sum is σ = 3564340595200. Its totient is φ = 1276855840512.

The previous prime is 2153798071169. The next prime is 2153798071301. The reversal of 2153798071191 is 1911708973512.

2153798071191 is a `hidden beast` number, since 2 + 1 + 5 + 379 + 80 + 7 + 1 + 191 = 666.

It is not a de Polignac number, because 2153798071191 - 219 = 2153797546903 is a prime.

It is a super-2 number, since 2×21537980711912 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153798071121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124380 + ... + 2079198.

It is an arithmetic number, because the mean of its divisors is an integer number (55692821800).

Almost surely, 22153798071191 is an apocalyptic number.

2153798071191 is a deficient number, since it is larger than the sum of its proper divisors (1410542524009).

2153798071191 is a wasteful number, since it uses less digits than its factorization.

2153798071191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954957 (or 1954951 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 2153798071191 in words is "two trillion, one hundred fifty-three billion, seven hundred ninety-eight million, seventy-one thousand, one hundred ninety-one".

Divisors: 1 3 9 13 27 39 43 73 117 129 219 351 387 559 657 949 1161 1677 1971 2847 3139 5031 8541 9417 15093 25623 28251 40807 84753 122421 367263 1101789 1954819 5864457 17593371 25412647 52780113 76237941 84057217 142701787 228713823 252171651 428105361 686141469 756514953 1092743821 1284316083 1855123231 2269544859 3278231463 3852948249 5565369693 6136176841 9834694389 16696109079 18408530523 29504083167 50088327237 55225591569 79770298933 165676774707 239310896799 717932690397 2153798071191