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1352224625532 = 2231161331507361
BaseRepresentation
bin10011101011010110110…
…111100101001101111100
311210021022212012022101020
4103223112313211031330
5134123324001004112
62513111534344140
7166460246446014
oct23532667451574
94707285168336
101352224625532
11481525604340
1219a0a135b050
139a68ba0b421
144963b526c44
1525293c4d48c
hex13ad6de537c

1352224625532 has 96 divisors (see below), whose sum is σ = 3509029241088. Its totient is φ = 401829120000.

The previous prime is 1352224625501. The next prime is 1352224625573. The reversal of 1352224625532 is 2355264222531.

It is a super-2 number, since 2×13522246255322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2411532 + ... + 2918892.

It is an arithmetic number, because the mean of its divisors is an integer number (36552387928).

Almost surely, 21352224625532 is an apocalyptic number.

1352224625532 is a gapful number since it is divisible by the number (12) 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 1352224625532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754514620544).

1352224625532 is an abundant number, since it is smaller than the sum of its proper divisors (2156804615556).

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

1352224625532 is a wasteful number, since it uses less digits than its factorization.

1352224625532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507771 (or 507769 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

The spelling of 1352224625532 in words is "one trillion, three hundred fifty-two billion, two hundred twenty-four million, six hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 331 366 662 671 732 993 1324 1342 1986 2013 2684 3641 3972 4026 7282 8052 10923 14564 20191 21846 40382 43692 60573 80764 121146 222101 242292 444202 507361 666303 888404 1014722 1332606 1522083 2029444 2665212 3044166 5580971 6088332 11161942 16742913 22323884 30949021 33485826 61898042 66971652 92847063 123796084 167936491 185694126 335872982 340439231 371388252 503809473 671745964 680878462 1007618946 1021317693 1361756924 1847301401 2015237892 2042635386 3694602802 4085270772 5541904203 7389205604 10244125951 11083808406 20488251902 22167616812 30732377853 40976503804 61464755706 112685385461 122929511412 225370770922 338056156383 450741541844 676112312766 1352224625532