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32502152020 = 225131917213823
BaseRepresentation
bin11110010001010001…
…110111101101010100
310002220010112101200011
4132101101313231110
51013031022331040
622533053530004
72230301506462
oct362121675524
9102803471604
1032502152020
1112869687968
126370aa3904
1330ac898c20
141804899832
15ca362c3ea
hex791477b54

32502152020 has 96 divisors (see below), whose sum is σ = 77438753280. Its totient is φ = 11359595520.

The previous prime is 32502151993. The next prime is 32502152021. The reversal of 32502152020 is 2025120523.

It is a junction number, because it is equal to n+sod(n) for n = 32502151982 and 32502152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32502152021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8499829 + ... + 8503651.

It is an arithmetic number, because the mean of its divisors is an integer number (806653680).

Almost surely, 232502152020 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 32502152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38719376640).

32502152020 is an abundant number, since it is smaller than the sum of its proper divisors (44936601260).

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

32502152020 is a wasteful number, since it uses less digits than its factorization.

32502152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 32502152020 its reverse (2025120523), we get a palindrome (34527272543).

The spelling of 32502152020 in words is "thirty-two billion, five hundred two million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 1721 2470 3442 3823 4940 6884 7646 8605 15292 17210 19115 22373 32699 34420 38230 44746 49699 65398 72637 76460 89492 99398 111865 130796 145274 163495 198796 223730 248495 290548 326990 363185 425087 447460 496990 653980 726370 850174 944281 993980 1452740 1700348 1888562 2125435 3777124 4250870 4721405 6579383 8501740 9442810 13158766 18885620 26317532 32896915 65793830 85531979 125008277 131587660 171063958 250016554 342127916 427659895 500033108 625041385 855319790 1250082770 1625107601 1710639580 2500165540 3250215202 6500430404 8125538005 16251076010 32502152020