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503052673113 = 324161149149993
BaseRepresentation
bin1110101001000000100…
…01101010000001011001
31210002110121100120111200
413110200101222001121
531220222441014423
61023033232344413
751226054112064
oct7244021520131
91702417316450
10503052673113
11184386134a41
12815b33a5109
133858c715323
141a4c281b8db
15d143b2dd43
hex752046a059

503052673113 has 48 divisors (see below), whose sum is σ = 761639533200. Its totient is φ = 319662950400.

The previous prime is 503052673049. The next prime is 503052673147. The reversal of 503052673113 is 311376250305.

503052673113 is a `hidden beast` number, since 50 + 3 + 0 + 526 + 73 + 1 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 293680537929 + 209372135184 = 541923^2 + 457572^2 .

It is not a de Polignac number, because 503052673113 - 26 = 503052673049 is a prime.

It is a super-2 number, since 2×5030526731132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (503052673153) 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, 3278845 + ... + 3428837.

It is an arithmetic number, because the mean of its divisors is an integer number (15867490275).

Almost surely, 2503052673113 is an apocalyptic number.

It is an amenable number.

503052673113 is a deficient number, since it is larger than the sum of its proper divisors (258586860087).

503052673113 is a wasteful number, since it uses less digits than its factorization.

503052673113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150250 (or 150247 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 503052673113 in words is "five hundred three billion, fifty-two million, six hundred seventy-three thousand, one hundred thirteen".

Divisors: 1 3 9 41 61 123 149 183 369 447 549 1341 2501 6109 7503 9089 18327 22509 27267 54981 81801 149993 372649 449979 1117947 1349937 3353841 6149713 9149573 18449139 22348957 27448719 55347417 67046871 82346157 201140613 375132493 916307237 1125397479 1363286377 2748921711 3376192437 4089859131 8246765133 12269577393 55894741457 167684224371 503052673113