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4645457145 = 325717792139
BaseRepresentation
bin1000101001110010…
…00000110011111001
3102222202020200012100
410110321000303321
534003214112040
62044544134013
7223055506560
oct42471006371
912882220170
104645457145
111a7426a78a
12a97907309
13590574a14
14320d70bd7
151c2c71b30
hex114e40cf9

4645457145 has 144 divisors (see below), whose sum is σ = 9939646080. Its totient is φ = 1959220224.

The previous prime is 4645457137. The next prime is 4645457147. The reversal of 4645457145 is 5417545464.

4645457145 is a `hidden beast` number, since 4 + 6 + 454 + 57 + 145 = 666.

It is not a de Polignac number, because 4645457145 - 23 = 4645457137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (1344000) is a multiple of the sum of its prime divisors (250).

It is a self number, because there is not a number n which added to its sum of digits gives 4645457145.

It is not an unprimeable number, because it can be changed into a prime (4645457147) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33420486 + ... + 33420624.

It is an arithmetic number, because the mean of its divisors is an integer number (69025320).

Almost surely, 24645457145 is an apocalyptic number.

4645457145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4645457145 is an abundant number, since it is smaller than the sum of its proper divisors (5294188935).

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

4645457145 is a wasteful number, since it uses less digits than its factorization.

4645457145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 250 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 4645457145 is about 68157.5905163908. The cubic root of 4645457145 is about 1668.5638082041.

The spelling of 4645457145 in words is "four billion, six hundred forty-five million, four hundred fifty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 79 85 105 119 139 153 237 255 315 357 395 417 553 595 695 711 765 973 1071 1185 1251 1343 1659 1785 2085 2363 2765 2919 3555 4029 4865 4977 5355 6241 6255 6715 7089 8295 8757 9401 10981 11815 12087 14595 16541 18723 20145 21267 24885 28203 31205 32943 35445 43687 43785 47005 49623 54905 56169 60435 76867 82705 84609 93615 98829 106097 106335 131061 141015 148869 164715 186677 218435 230601 248115 280845 318291 384335 393183 423045 494145 530485 560031 655305 691803 742679 744345 867499 933385 954873 1153005 1306739 1591455 1680093 1965915 2228037 2602497 2800155 3459015 3713395 3920217 4337495 4774365 6072493 6533695 6684111 7807491 8400465 11140185 11760651 13012485 14747483 18217479 19601085 30362465 33420555 39037455 44242449 54652437 58803255 73737415 91087395 103232381 132727347 221212245 273262185 309697143 516161905 663636735 929091429 1548485715 4645457145