Search a number
-
+
253531334004 = 223134193878761
BaseRepresentation
bin1110110000011110100…
…1010010010101110100
3220020102000221012200120
43230013221102111310
513123213010142004
6312245400211540
724213512532114
oct3540751222564
9806360835616
10253531334004
1198581912803
1241177169bb0
131aba5879740
14c3b1809044
1568dcd653d9
hex3b07a52574

253531334004 has 48 divisors (see below), whose sum is σ = 638599375680. Its totient is φ = 77823440640.

The previous prime is 253531334003. The next prime is 253531334027. The reversal of 253531334004 is 400433135352.

253531334004 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 not an unprimeable number, because it can be changed into a prime (253531334003) by changing a digit.

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, 1874017 + ... + 2004744.

It is an arithmetic number, because the mean of its divisors is an integer number (13304153660).

Almost surely, 2253531334004 is an apocalyptic number.

It is an amenable number.

253531334004 is an abundant number, since it is smaller than the sum of its proper divisors (385068041676).

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

253531334004 is a wasteful number, since it uses less digits than its factorization.

253531334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879200 (or 3879198 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 253531334004 its reverse (400433135352), we get a palindrome (653964469356).

The spelling of 253531334004 in words is "two hundred fifty-three billion, five hundred thirty-one million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 419 838 1257 1676 2514 5028 5447 10894 16341 21788 32682 65364 3878761 7757522 11636283 15515044 23272566 46545132 50423893 100847786 151271679 201695572 302543358 605086716 1625200859 3250401718 4875602577 6500803436 9751205154 19502410308 21127611167 42255222334 63382833501 84510444668 126765667002 253531334004