Search a number
-
+
253117715104 = 25233111093869
BaseRepresentation
bin1110101110111011111…
…1011101001010100000
3220012100012122012020001
43223232333131022200
513121341113340404
6312140343025344
724200331036112
oct3535677351240
9805305565201
10253117715104
119838a395801
124108073b254
131ab3ac7a327
14c3728db3b2
1568b68b17a4
hex3aeefdd2a0

253117715104 has 48 divisors (see below), whose sum is σ = 536765806080. Its totient is φ = 117151246080.

The previous prime is 253117715093. The next prime is 253117715203. The reversal of 253117715104 is 401517711352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5524119 + ... + 5569750.

It is an arithmetic number, because the mean of its divisors is an integer number (11182620960).

Almost surely, 2253117715104 is an apocalyptic number.

It is an amenable number.

253117715104 is an abundant number, since it is smaller than the sum of its proper divisors (283648090976).

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

253117715104 is a wasteful number, since it uses less digits than its factorization.

253117715104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093933 (or 11093925 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 253117715104 in words is "two hundred fifty-three billion, one hundred seventeen million, seven hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 5704 11408 22816 11093869 22187738 44375476 88750952 177501904 255158987 343909939 355003808 510317974 687819878 1020635948 1375639756 2041271896 2751279512 4082543792 5502559024 7909928597 8165087584 11005118048 15819857194 31639714388 63279428776 126558857552 253117715104