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352205541012 = 2231337233261887
BaseRepresentation
bin1010010000000010001…
…01100000111010010100
31020200002210212021212010
411020001011200322110
521232304104303022
6425445003024220
734305660462663
oct5100105407224
91220083767763
10352205541012
11126407933a16
1258314b0b070
132729c7c0090
1413092752dda
1592659b750c
hex5201160e94

352205541012 has 96 divisors (see below), whose sum is σ = 912853573632. Its totient is φ = 104989049856.

The previous prime is 352205540957. The next prime is 352205541031. The reversal of 352205541012 is 210145502253.

It is a super-2 number, since 2×3522055410122 (a number of 24 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213933 + ... + 1475819.

It is an arithmetic number, because the mean of its divisors is an integer number (9508891392).

Almost surely, 2352205541012 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 352205541012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456426786816).

352205541012 is an abundant number, since it is smaller than the sum of its proper divisors (560648032620).

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

352205541012 is a wasteful number, since it uses less digits than its factorization.

352205541012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262177 (or 262175 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 352205541012 in words is "three hundred fifty-two billion, two hundred five million, five hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 233 444 466 481 699 932 962 1398 1443 1924 2796 2886 3029 5772 6058 8621 9087 12116 17242 18174 25863 34484 36348 51726 103452 112073 224146 261887 336219 448292 523774 672438 785661 1047548 1344876 1571322 3142644 3404531 6809062 9689819 10213593 13618124 19379638 20427186 29069457 38759276 40854372 58138914 61019671 116277828 122039342 125967647 183059013 244078684 251935294 366118026 377902941 503870588 732236052 755805882 793255723 1511611764 1586511446 2257727827 2379767169 3173022892 4515455654 4759534338 6773183481 9030911308 9519068676 13546366962 27092733924 29350461751 58700923502 88051385253 117401847004 176102770506 352205541012