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2153053504041 = 311731362765587
BaseRepresentation
bin11111010101001011111…
…111010100001000101001
321121211102000000102220220
4133111023333110020221
5240233423144112131
64325033224440253
7311360446552326
oct37251377241051
97554360012826
102153053504041
117601176337a0
122a9339319089
1312805560c34b
14762cb9b3b4d
153b014bbde96
hex1f54bfd4229

2153053504041 has 32 divisors (see below), whose sum is σ = 3174895753728. Its totient is φ = 1286891763840.

The previous prime is 2153053503973. The next prime is 2153053504051. The reversal of 2153053504041 is 1404053503512.

It is not a de Polignac number, because 2153053504041 - 223 = 2153045115433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2153053503993 and 2153053504011.

It is not an unprimeable number, because it can be changed into a prime (2153053504051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32794650 + ... + 32860236.

It is an arithmetic number, because the mean of its divisors is an integer number (99215492304).

Almost surely, 22153053504041 is an apocalyptic number.

It is an amenable number.

2153053504041 is a deficient number, since it is larger than the sum of its proper divisors (1021842249687).

2153053504041 is a wasteful number, since it uses less digits than its factorization.

2153053504041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79301.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 2153053504041 in words is "two trillion, one hundred fifty-three billion, fifty-three million, five hundred four thousand, forty-one".

Divisors: 1 3 11 33 73 219 803 2409 13627 40881 65587 149897 196761 449691 721457 994771 2164371 2984313 4787851 10942481 14363553 32827443 52666361 157999083 893754049 2681262147 9831294539 29493883617 65244045577 195732136731 717684501347 2153053504041