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54631013645 = 513840477133
BaseRepresentation
bin110010111000010000…
…110001110100001101
312020000022220001001202
4302320100301310031
51343341014414040
641032552115245
73642543645155
oct627020616415
9166008801052
1054631013645
112119486815a
12a707995b25
1351c83284a0
1429037c1765
15164b212015
hexcb8431d0d

54631013645 has 8 divisors (see below), whose sum is σ = 70600079256. Its totient is φ = 40342902336.

The previous prime is 54631013617. The next prime is 54631013683.

54631013645 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9528297769 + 45102715876 = 97613^2 + 212374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54631013645 - 26 = 54631013581 is a prime.

It is a super-3 number, since 3×546310136453 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54631013599 and 54631013608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420238502 + ... + 420238631.

It is an arithmetic number, because the mean of its divisors is an integer number (8825009907).

Almost surely, 254631013645 is an apocalyptic number.

It is an amenable number.

54631013645 is a deficient number, since it is larger than the sum of its proper divisors (15969065611).

54631013645 is a wasteful number, since it uses less digits than its factorization.

54631013645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840477151.

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 546310 and 13645, that added together give a palindrome (559955).

The spelling of 54631013645 in words is "fifty-four billion, six hundred thirty-one million, thirteen thousand, six hundred forty-five".

Divisors: 1 5 13 65 840477133 4202385665 10926202729 54631013645