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54146000503 = 737538874447
BaseRepresentation
bin110010011011010110…
…100110011001110111
312011202112020211010001
4302123112212121313
51341342334004003
640512504412131
73624534260530
oct623326463167
9164675224101
1054146000503
1120a66007651
12a5b1477047
13514b9bca6a
14289920b687
15161d85961d
hexc9b5a6677

54146000503 has 32 divisors (see below), whose sum is σ = 64840310784. Its totient is φ = 44244600192.

The previous prime is 54146000483. The next prime is 54146000507. The reversal of 54146000503 is 30500064145.

54146000503 is a nontrivial binomial coefficient, being equal to C(329078, 2).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54146000503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54146000507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12173626 + ... + 12178072.

It is an arithmetic number, because the mean of its divisors is an integer number (2026259712).

Almost surely, 254146000503 is an apocalyptic number.

54146000503 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

54146000503 is the 329077-th triangular number and also the 164539-th hexagonal number.

54146000503 is the 109693-rd centered nonagonal number.

54146000503 is a deficient number, since it is larger than the sum of its proper divisors (10694310281).

54146000503 is a wasteful number, since it uses less digits than its factorization.

54146000503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 54146000503 its reverse (30500064145), we get a palindrome (84646064648).

The spelling of 54146000503 in words is "fifty-four billion, one hundred forty-six million, five hundred three", and thus it is an aban number.

Divisors: 1 7 37 53 259 371 887 1961 4447 6209 13727 31129 32819 47011 164539 229733 235691 329077 1151773 1649837 1739407 3944489 8720567 12175849 27611423 61043969 145946093 209057917 1021622651 1463405419 7735142929 54146000503