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20152532244 = 223131313672687
BaseRepresentation
bin10010110001001011…
…110011110100010100
31221000110112201011010
4102301023303310110
5312233022012434
613131414412220
71312253461215
oct226113636424
957013481133
1020152532244
118601640829
123aa5061070
131b921822c0
14d9266d40c
157ce34a9e9
hex4b12f3d14

20152532244 has 96 divisors (see below), whose sum is σ = 51184336896. Its totient is φ = 6134394240.

The previous prime is 20152532233. The next prime is 20152532251. The reversal of 20152532244 is 44223525102.

It is a super-2 number, since 2×201525322442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7498669 + ... + 7501355.

It is an arithmetic number, because the mean of its divisors is an integer number (533170176).

Almost surely, 220152532244 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 20152532244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592168448).

20152532244 is an abundant number, since it is smaller than the sum of its proper divisors (31031804652).

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

20152532244 is a wasteful number, since it uses less digits than its factorization.

20152532244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

It can be divided in two parts, 201525 and 32244, that multiplied together give a square (6497972100 = 806102).

The spelling of 20152532244 in words is "twenty billion, one hundred fifty-two million, five hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 367 393 524 734 786 1101 1468 1572 1703 2202 2687 3406 4404 4771 5109 5374 6812 8061 9542 10218 10748 14313 16122 19084 20436 28626 32244 34931 48077 57252 69862 96154 104793 139724 144231 192308 209586 288462 351997 419172 576924 625001 703994 986129 1055991 1250002 1407988 1875003 1972258 2111982 2500004 2958387 3750006 3944516 4223964 4575961 5916774 7500012 9151922 11833548 12819677 13727883 18303844 25639354 27455766 38459031 51278708 54911532 76918062 129182899 153836124 258365798 387548697 516731596 775097394 1550194788 1679377687 3358755374 5038133061 6717510748 10076266122 20152532244