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252504576423 = 331153109367401
BaseRepresentation
bin1110101100101001110…
…0100001000110100111
3220010202110220112002000
43223022130201012213
513114112132421143
6311555441220343
724146204325561
oct3531234410647
9803673815060
10252504576423
11980a5283620
1240b2b3316b3
131aa70c31388
14c3152d4331
15687cb4abd3
hex3aca7211a7

252504576423 has 128 divisors (see below), whose sum is σ = 421795123200. Its totient is φ = 147992832000.

The previous prime is 252504576421. The next prime is 252504576449. The reversal of 252504576423 is 324675405252.

252504576423 is a `hidden beast` number, since 2 + 5 + 2 + 50 + 4 + 576 + 4 + 23 = 666.

252504576423 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 252504576423 - 21 = 252504576421 is a prime.

It is a super-2 number, since 2×2525045764232 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252504576421) 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 127 ways as a sum of consecutive naturals, for example, 629687023 + ... + 629687423.

It is an arithmetic number, because the mean of its divisors is an integer number (3295274400).

Almost surely, 2252504576423 is an apocalyptic number.

252504576423 is a deficient number, since it is larger than the sum of its proper divisors (169290546777).

252504576423 is a wasteful number, since it uses less digits than its factorization.

252504576423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 252504576423 in words is "two hundred fifty-two billion, five hundred four million, five hundred seventy-six thousand, four hundred twenty-three".

Divisors: 1 3 9 11 27 33 53 99 109 159 297 327 367 401 477 583 981 1101 1199 1203 1431 1749 2943 3303 3597 3609 4037 4411 5247 5777 9909 10791 10827 12111 13233 15741 17331 19451 21253 32373 36333 39699 40003 43709 51993 58353 63547 63759 108999 119097 120009 131127 147167 155979 175059 190641 191277 213961 233783 360027 393381 440033 441501 480799 525177 571923 573831 641883 701349 1080081 1180143 1320099 1324503 1442397 1618837 1715769 1925649 2104047 2120159 2316577 3960297 3973509 4327191 4856511 5776947 6312141 6360477 6949731 7799851 11880891 12981573 14569533 16041203 19081431 20849193 23321749 23399553 25482347 43708599 48123609 57244293 62547579 69965247 70198659 76447041 85798361 144370827 176453233 209895741 210595977 229341123 257395083 433112481 529359699 629687223 688023369 772185249 850183759 1588079097 2316555747 2550551277 4764237291 7651653831 9352021349 22954961493 28056064047 84168192141 252504576423