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253083449476 = 2211213217592
BaseRepresentation
bin1110101110110011110…
…0101111100010000100
3220012020211011022121201
43223230330233202010
513121303330340401
6312133120352244
724166433553244
oct3535474574204
9805224138551
10253083449476
1198372011500
1241071175684
131ab33b40900
14c36c13bb24
1568b3893b01
hex3aecf2f884

253083449476 has 81 divisors (see below), whose sum is σ = 527447718693. Its totient is φ = 106128491040.

The previous prime is 253083449453. The next prime is 253083449477. The reversal of 253083449476 is 674944380352.

The square root of 253083449476 is 503074.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37438380100 + 215645069376 = 193490^2 + 464376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253083449477) 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, 143878285 + ... + 143880043.

Almost surely, 2253083449476 is an apocalyptic number.

253083449476 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

253083449476 is the 503074-th square number.

It is an amenable number.

253083449476 is an abundant number, since it is smaller than the sum of its proper divisors (274364269217).

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

253083449476 is a wasteful number, since it uses less digits than its factorization.

253083449476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 253083449476 in words is "two hundred fifty-three billion, eighty-three million, four hundred forty-nine thousand, four hundred seventy-six".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1759 1859 3146 3518 3718 6292 7036 7436 19349 20449 22867 38698 40898 45734 77396 81796 91468 212839 251537 297271 425678 503074 594542 851356 1006148 1189084 2766907 3094081 3269981 5533814 6188162 6539962 11067628 12376324 13079924 34034891 35969791 40223053 68069782 71939582 80446106 136139564 143879164 160892212 374383801 442453583 522899689 748767602 884907166 1045799378 1497535204 1769814332 2091598756 4866989413 5751896579 9733978826 11503793158 19467957652 23007586316 63270862369 126541724738 253083449476