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253414544211 = 32294766131253
BaseRepresentation
bin1110110000000010101…
…1110001001101010011
3220020002220011200012200
43230000223301031103
513122443110403321
6312230025054243
724210564041103
oct3540053611523
9806086150180
10253414544211
11985219a3914
1241144027383
131ab87607a5a
14c3a00c7203
1568d2995d26
hex3b00af1353

253414544211 has 48 divisors (see below), whose sum is σ = 387319570560. Its totient is φ = 159400200960.

The previous prime is 253414544171. The next prime is 253414544213. The reversal of 253414544211 is 112445414352.

253414544211 is a `hidden beast` number, since 2 + 53 + 41 + 4 + 544 + 21 + 1 = 666.

It is not a de Polignac number, because 253414544211 - 29 = 253414543699 is a prime.

It is a super-2 number, since 2×2534145442112 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253414544213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8092861 + ... + 8124113.

It is an arithmetic number, because the mean of its divisors is an integer number (8069157720).

Almost surely, 2253414544211 is an apocalyptic number.

253414544211 is a deficient number, since it is larger than the sum of its proper divisors (133905026349).

253414544211 is a wasteful number, since it uses less digits than its factorization.

253414544211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31996 (or 31993 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 253414544211 its reverse (112445414352), we get a palindrome (365859958563).

The spelling of 253414544211 in words is "two hundred fifty-three billion, four hundred fourteen million, five hundred forty-four thousand, two hundred eleven".

Divisors: 1 3 9 29 47 87 141 261 423 661 1363 1983 4089 5949 12267 19169 31067 31253 57507 93201 93759 172521 279603 281277 900943 906337 1468891 2702829 2719011 4406673 8108487 8157033 13220019 20658233 42597839 61974699 127793517 185924097 383380551 599088757 970936951 1797266271 2912810853 5391798813 8738432559 28157171579 84471514737 253414544211