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1045663353 = 3271729131257
BaseRepresentation
bin111110010100111…
…000111001111001
32200212121012110100
4332110320321321
54120142211403
6251432110013
734624664130
oct7624707171
92625535410
101045663353
11497282399
12252235309
13138837717
149cc36917
1561c012a3
hex3e538e79

1045663353 has 96 divisors (see below), whose sum is σ = 1912584960. Its totient is φ = 536739840.

The previous prime is 1045663343. The next prime is 1045663361. The reversal of 1045663353 is 3533665401.

1045663353 is a `hidden beast` number, since 10 + 4 + 5 + 6 + 633 + 5 + 3 = 666.

It is not a de Polignac number, because 1045663353 - 24 = 1045663337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1045663343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4068601 + ... + 4068857.

It is an arithmetic number, because the mean of its divisors is an integer number (19922760).

Almost surely, 21045663353 is an apocalyptic number.

It is an amenable number.

1045663353 is a deficient number, since it is larger than the sum of its proper divisors (866921607).

1045663353 is a wasteful number, since it uses less digits than its factorization.

1045663353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 1045663353 is about 32336.7183399924. The cubic root of 1045663353 is about 1014.9951395498.

The spelling of 1045663353 in words is "one billion, forty-five million, six hundred sixty-three thousand, three hundred fifty-three".

Divisors: 1 3 7 9 17 21 29 51 63 87 119 131 153 203 257 261 357 393 493 609 771 917 1071 1179 1479 1799 1827 2227 2313 2751 3451 3799 4369 4437 5397 6681 7453 8253 10353 11397 13107 15589 16191 20043 22359 26593 30583 31059 33667 34191 39321 46767 52171 64583 67077 79779 91749 101001 126701 140301 156513 193749 235669 239337 275247 303003 380103 452081 469539 572339 581247 707007 886907 976343 1140309 1356243 1717017 2121021 2660721 2929029 4006373 4068729 5151051 6834401 7982163 8787087 12019119 16597831 20503203 36057357 49793493 61509609 116184817 149380479 348554451 1045663353