Search a number
-
+
245712107136 = 2732677239027
BaseRepresentation
bin1110010011010110010…
…1010011011010000000
3212111020002200022220110
43210311211103122000
513011204244412021
6304513435111320
723515655310246
oct3446545233200
9774202608813
10245712107136
119522a095941
123b7545a2540
131a22a91b392
14bc6d15a796
1565d1677476
hex3935953680

245712107136 has 64 divisors (see below), whose sum is σ = 652919323680. Its totient is φ = 81873097728.

The previous prime is 245712107111. The next prime is 245712107141. The reversal of 245712107136 is 631701217542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 245712107094 and 245712107103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908455 + ... + 1147481.

Almost surely, 2245712107136 is an apocalyptic number.

It is an amenable number.

245712107136 is an abundant number, since it is smaller than the sum of its proper divisors (407207216544).

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

245712107136 is a wasteful number, since it uses less digits than its factorization.

245712107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241721 (or 241709 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 245712107136 in words is "two hundred forty-five billion, seven hundred twelve million, one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2677 5354 8031 10708 16062 21416 32124 42832 64248 85664 128496 171328 239027 256992 342656 478054 513984 717081 956108 1027968 1434162 1912216 2868324 3824432 5736648 7648864 11473296 15297728 22946592 30595456 45893184 91786368 639875279 1279750558 1919625837 2559501116 3839251674 5119002232 7678503348 10238004464 15357006696 20476008928 30714013392 40952017856 61428026784 81904035712 122856053568 245712107136