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503267385394272 = 253311631037476469
BaseRepresentation
bin111001001101110000001000…
…1101110111100010001100000
32102222220220002101122022110110
41302123200101232330101200
51011431013101130104042
64542205502314131320
7211001603652523302
oct16233402156742140
92388826071568413
10503267385394272
111363a15549a0834
1248540711120b40
13187a7bac072405
148c3c3b2ac5972
153d2b2163ae09c
hex1c9b811bbc460

503267385394272 has 96 divisors (see below), whose sum is σ = 1372058481669120. Its totient is φ = 161348340303360.

The previous prime is 503267385394271. The next prime is 503267385394309. The reversal of 503267385394272 is 272493583762305.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5032673853942722 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503267385394271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518253147 + ... + 519223322.

It is an arithmetic number, because the mean of its divisors is an integer number (14292275850720).

Almost surely, 2503267385394272 is an apocalyptic number.

It is an amenable number.

503267385394272 is an abundant number, since it is smaller than the sum of its proper divisors (868791096274848).

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

503267385394272 is a wasteful number, since it uses less digits than its factorization.

503267385394272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037476676 (or 1037476668 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 66.

The spelling of 503267385394272 in words is "five hundred three trillion, two hundred sixty-seven billion, three hundred eighty-five million, three hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 163 186 248 326 372 489 496 652 744 978 992 1304 1488 1956 2608 2976 3912 5053 5216 7824 10106 15159 15648 20212 30318 40424 60636 80848 121272 161696 242544 485088 1037476469 2074952938 3112429407 4149905876 6224858814 8299811752 12449717628 16599623504 24899435256 32161770539 33199247008 49798870512 64323541078 96485311617 99597741024 128647082156 169108664447 192970623234 257294164312 338217328894 385941246468 507325993341 514588328624 676434657788 771882492936 1014651986682 1029176657248 1352869315576 1543764985872 2029303973364 2705738631152 3087529971744 4058607946728 5242368597857 5411477262304 8117215893456 10484737195714 15727105793571 16234431786912 20969474391428 31454211587142 41938948782856 62908423174284 83877897565712 125816846348568 167755795131424 251633692697136 503267385394272