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252410014252 = 2211101115349261
BaseRepresentation
bin1110101100010011001…
…1110010101000101100
3220010111212222021011101
43223010303302220230
513113413430424002
6311542222332444
724143645502244
oct3530463625054
9803455867141
10252410014252
1198056966670
1240b0372a124
131aa57472a26
14c30691ab24
1568746bc587
hex3ac4cf2a2c

252410014252 has 48 divisors (see below), whose sum is σ = 487076645664. Its totient is φ = 113495040000.

The previous prime is 252410014243. The next prime is 252410014271.

It is a happy number.

252410014252 is nontrivially palindromic in base 10.

252410014252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252410014252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099302 + ... + 5148562.

It is an arithmetic number, because the mean of its divisors is an integer number (10147430118).

Almost surely, 2252410014252 is an apocalyptic number.

252410014252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252410014252 is a deficient number, since it is larger than the sum of its proper divisors (234666631412).

252410014252 is a wasteful number, since it uses less digits than its factorization.

252410014252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50530 (or 50528 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 2524100 and 14252, that added together give a palindrome (2538352).

The spelling of 252410014252 in words is "two hundred fifty-two billion, four hundred ten million, fourteen thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 44 101 202 404 1111 1153 2222 2306 4444 4612 12683 25366 49261 50732 98522 116453 197044 232906 465812 541871 1083742 1280983 2167484 2561966 4975361 5123932 9950722 19901444 54728971 56797933 109457942 113595866 218915884 227191732 624777263 1249554526 2499109052 5736591233 11473182466 22946364932 63102503563 126205007126 252410014252