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52435525122 = 23819992
BaseRepresentation
bin110000110101011001…
…101001111000000010
312000100022200200000000
4300311121221320002
51324341443300442
640031043140430
73534254416041
oct606531517002
9160308620000
1052435525122
112026853a132
12a1b4674716
134c38516456
142775d9a558
15156d5d6d4c
hexc35669e02

52435525122 has 54 divisors (see below), whose sum is σ = 118032983523. Its totient is φ = 17469764748.

The previous prime is 52435525091. The next prime is 52435525123. The reversal of 52435525122 is 22152553425.

52435525122 is a `hidden beast` number, since 5 + 2 + 4 + 3 + 5 + 525 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26217762561 + 26217762561 = 161919^2 + 161919^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=161919.

It is a super-2 number, since 2×524355251222 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52435525123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26229879 + ... + 26231877.

Almost surely, 252435525122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52435525122

52435525122 is an abundant number, since it is smaller than the sum of its proper divisors (65597458401).

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

52435525122 is an frugal number, since it uses more digits than its factorization.

52435525122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 2004 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The spelling of 52435525122 in words is "fifty-two billion, four hundred thirty-five million, five hundred twenty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1999 2187 3998 4374 5997 6561 11994 13122 17991 35982 53973 107946 161919 323838 485757 971514 1457271 2914542 3996001 4371813 7992002 8743626 11988003 13115439 23976006 26230878 35964009 71928018 107892027 215784054 323676081 647352162 971028243 1942056486 2913084729 5826169458 8739254187 17478508374 26217762561 52435525122