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53513530002 = 23217298967757
BaseRepresentation
bin110001110101101001…
…111010101010010010
312010010110010222200200
4301311221322222102
51334043430430002
640330032400030
73603054333312
oct616551725222
9163113128620
1053513530002
1120770aa1159
12a4556a6016
13507a96586a
142839211442
1515d3075b1c
hexc75a7aa92

53513530002 has 96 divisors (see below), whose sum is σ = 128428513200. Its totient is φ = 16027275264.

The previous prime is 53513529959. The next prime is 53513530013. The reversal of 53513530002 is 20003531535.

53513530002 is a `hidden beast` number, since 5 + 351 + 3 + 5 + 300 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41270328801 + 12243201201 = 203151^2 + 110649^2 .

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 47 ways as a sum of consecutive naturals, for example, 755908 + ... + 823664.

Almost surely, 253513530002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53513530002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64214256600).

53513530002 is an abundant number, since it is smaller than the sum of its proper divisors (74914983198).

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

53513530002 is a wasteful number, since it uses less digits than its factorization.

53513530002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67900 (or 67897 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

It can be divided in two parts, 5351 and 3530002, that added together give a palindrome (3535353).

The spelling of 53513530002 in words is "fifty-three billion, five hundred thirteen million, five hundred thirty thousand, two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 89 102 153 174 178 261 267 306 493 522 534 801 986 1479 1513 1602 2581 2958 3026 4437 4539 5162 7743 8874 9078 13617 15486 23229 27234 43877 46458 67757 87754 131631 135514 203271 263262 394893 406542 609813 789786 1151869 1219626 1964953 2303738 3455607 3929906 5894859 6030373 6911214 10366821 11789718 12060746 17684577 18091119 20733642 33404201 35369154 36182238 54273357 66808402 100212603 102516341 108546714 174880817 200425206 205032682 300637809 307549023 349761634 524642451 601275618 615098046 922647069 1049284902 1573927353 1845294138 2972973889 3147854706 5945947778 8918921667 17837843334 26756765001 53513530002