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53130352440 = 233511536531163
BaseRepresentation
bin110001011110110100…
…001101011100111000
312002010202010112220010
4301132310031130320
51332302332234230
640224023501520
73560422354464
oct613664153470
9162122115803
1053130352440
1120594776190
12a3692b78a0
135019464289
1428003894a4
1515ae5d69b0
hexc5ed0d738

53130352440 has 256 divisors, whose sum is σ = 177585799680. Its totient is φ = 12606863360.

The previous prime is 53130352439. The next prime is 53130352459. The reversal of 53130352440 is 4425303135.

It is a super-2 number, since 2×531303524402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53130352398 and 53130352407.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 45683299 + ... + 45684461.

It is an arithmetic number, because the mean of its divisors is an integer number (693694530).

Almost surely, 253130352440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53130352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792899840).

53130352440 is an abundant number, since it is smaller than the sum of its proper divisors (124455447240).

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

53130352440 is a wasteful number, since it uses less digits than its factorization.

53130352440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 53130352440 its reverse (4425303135), we get a palindrome (57555655575).

The spelling of 53130352440 in words is "fifty-three billion, one hundred thirty million, three hundred fifty-two thousand, four hundred forty".