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447465146145 = 35172269383723
BaseRepresentation
bin1101000001011110000…
…00000100011100100001
31120202222121121121211120
412200233000010130201
524312402034134040
6541321311002453
744220413662203
oct6405700043441
91522877547746
10447465146145
11162850456206
127287b209429
1333271197534
141792bdac773
15b98d97a7d0
hex682f004721

447465146145 has 48 divisors (see below), whose sum is σ = 763365176640. Its totient is φ = 223774391296.

The previous prime is 447465146131. The next prime is 447465146147. The reversal of 447465146145 is 541641564744.

It is not a de Polignac number, because 447465146145 - 24 = 447465146129 is a prime.

It is a super-2 number, since 2×4474651461452 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (447465146147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974254 + ... + 1357976.

It is an arithmetic number, because the mean of its divisors is an integer number (15903441180).

Almost surely, 2447465146145 is an apocalyptic number.

It is an amenable number.

447465146145 is a deficient number, since it is larger than the sum of its proper divisors (315900030495).

447465146145 is a wasteful number, since it uses less digits than its factorization.

447465146145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384034 (or 384017 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 51.

The spelling of 447465146145 in words is "four hundred forty-seven billion, four hundred sixty-five million, one hundred forty-six thousand, one hundred forty-five".

Divisors: 1 3 5 15 17 51 85 255 269 289 807 867 1345 1445 4035 4335 4573 13719 22865 68595 77741 233223 383723 388705 1151169 1166115 1918615 5755845 6523291 19569873 32616455 97849365 103221487 110895947 309664461 332687841 516107435 554479735 1548322305 1663439205 1754765279 5264295837 8773826395 26321479185 29831009743 89493029229 149155048715 447465146145