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53342015532 = 223132109723977
BaseRepresentation
bin110001101011011011…
…101001000000101100
312002200111102011001220
4301223123221000230
51333221023444112
640301024303340
73565602436161
oct615333510054
9162614364056
1053342015532
11206931a4863
12a408171b50
135051273100
142820526068
1515c2e9698c
hexc6b6e902c

53342015532 has 72 divisors (see below), whose sum is σ = 134903872656. Its totient is φ = 16397282304.

The previous prime is 53342015513. The next prime is 53342015533. The reversal of 53342015532 is 23551024335.

It is a super-3 number, since 3×533420155323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 53342015493 and 53342015502.

It is not an unprimeable number, because it can be changed into a prime (53342015533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212728 + ... + 2236704.

It is an arithmetic number, because the mean of its divisors is an integer number (1873664898).

Almost surely, 253342015532 is an apocalyptic number.

53342015532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53342015532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67451936328).

53342015532 is an abundant number, since it is smaller than the sum of its proper divisors (81561857124).

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

53342015532 is a wasteful number, since it uses less digits than its factorization.

53342015532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25107 (or 25092 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 53342015532 its reverse (23551024335), we get a palindrome (76893039867).

The spelling of 53342015532 in words is "fifty-three billion, three hundred forty-two million, fifteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1097 2028 2194 3291 4388 6582 13164 14261 23977 28522 42783 47954 57044 71931 85566 95908 143862 171132 185393 287724 311701 370786 556179 623402 741572 935103 1112358 1246804 1870206 2224716 3740412 4052113 8104226 12156339 16208452 24312678 26302769 48625356 52605538 78908307 105211076 157816614 315633228 341935997 683871994 1025807991 1367743988 2051615982 4103231964 4445167961 8890335922 13335503883 17780671844 26671007766 53342015532