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253135531352 = 231119314904353
BaseRepresentation
bin1110101111000000001…
…1011010110101011000
3220012101110011100112002
43223300003122311120
513121410144000402
6312142220540132
724200635341404
oct3536003326530
9805343140462
10253135531352
1198399454380
12410866b1648
131ab418777a2
14c375018104
1568b8230602
hex3af00dad58

253135531352 has 32 divisors (see below), whose sum is σ = 520460041680. Its totient is φ = 114465423360.

The previous prime is 253135531333. The next prime is 253135531399.

253135531352 is nontrivially palindromic in base 10.

253135531352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7435193 + ... + 7469160.

Almost surely, 2253135531352 is an apocalyptic number.

253135531352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253135531352 is an abundant number, since it is smaller than the sum of its proper divisors (267324510328).

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

253135531352 is a wasteful number, since it uses less digits than its factorization.

253135531352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904563 (or 14904559 counting only the distinct ones).

The product of its digits is 202500, while the sum is 38.

It can be divided in two parts, 253135 and 531352, that added together give a palindrome (784487).

The spelling of 253135531352 in words is "two hundred fifty-three billion, one hundred thirty-five million, five hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 193 386 772 1544 2123 4246 8492 16984 14904353 29808706 59617412 119234824 163947883 327895766 655791532 1311583064 2876540129 5753080258 11506160516 23012321032 31641941419 63283882838 126567765676 253135531352