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245456206641 = 32714018531123
BaseRepresentation
bin1110010010011001010…
…1000111101100110001
3212110120021011020102100
43210212111013230301
513010143242103031
6304432214211013
723506430221542
oct3444625075461
9773507136370
10245456206641
11951086a2028
123b6a2953a69
131a1b98c1079
14bc471864c9
1565b8e79de6
hex3926547b31

245456206641 has 48 divisors (see below), whose sum is σ = 361181987712. Its totient is φ = 160598592000.

The previous prime is 245456206621. The next prime is 245456206643. The reversal of 245456206641 is 146602654542.

245456206641 is a `hidden beast` number, since 2 + 4 + 545 + 6 + 2 + 0 + 66 + 41 = 666.

245456206641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245456206641 - 215 = 245456173873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (245456206643) 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 47 ways as a sum of consecutive naturals, for example, 218571306 + ... + 218572428.

It is an arithmetic number, because the mean of its divisors is an integer number (7524624744).

Almost surely, 2245456206641 is an apocalyptic number.

It is an amenable number.

245456206641 is a deficient number, since it is larger than the sum of its proper divisors (115725781071).

245456206641 is a wasteful number, since it uses less digits than its factorization.

245456206641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 245456206641 in words is "two hundred forty-five billion, four hundred fifty-six million, two hundred six thousand, six hundred forty-one".

Divisors: 1 3 9 71 213 401 639 853 1123 1203 2559 3369 3609 7677 10107 28471 60563 79733 85413 181689 239199 256239 342053 450323 545067 717597 957919 1026159 1350969 2873757 3078477 4052907 8621271 24285763 31972933 68012249 72857289 95918799 204036747 218571867 287756397 384125519 612110241 1152376557 3457129671 27272911849 81818735547 245456206641