Search a number
-
+
112454763760 = 2457283193009
BaseRepresentation
bin110100010111011010…
…0111000010011110000
3101202021011110220012101
41220232310320103300
53320301404420020
6123354435510144
711060506502053
oct1505664702360
9352234426171
10112454763760
1143767867499
1219964a58354
13a7b1c4b341
14562b21aa9a
152dd288a00a
hex1a2ed384f0

112454763760 has 40 divisors (see below), whose sum is σ = 261494580240. Its totient is φ = 44975496192.

The previous prime is 112454763749. The next prime is 112454763779. The reversal of 112454763760 is 67367454211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1124547637603 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112454763760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486136 + ... + 679144.

It is an arithmetic number, because the mean of its divisors is an integer number (6537364506).

Almost surely, 2112454763760 is an apocalyptic number.

112454763760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112454763760 is an abundant number, since it is smaller than the sum of its proper divisors (149039816480).

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

112454763760 is a wasteful number, since it uses less digits than its factorization.

112454763760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200305 (or 200299 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 112454763760 in words is "one hundred twelve billion, four hundred fifty-four million, seven hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7283 14566 29132 36415 58264 72830 116528 145660 193009 291320 386018 582640 772036 965045 1544072 1930090 3088144 3860180 7720360 15440720 1405684547 2811369094 5622738188 7028422735 11245476376 14056845470 22490952752 28113690940 56227381880 112454763760