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4233253553352 = 2332676661131743
BaseRepresentation
bin111101100110100001100…
…100110000010011001000
3112222200202201101220221200
4331212201210300103020
51023324200402201402
613000421351104200
7614561653333215
oct75464144602310
915880681356850
104233253553352
1113923492a766a
12584524072060
1324926a57c0a5
14108c679d4b0c
15751b39d421c
hex3d9a19304c8

4233253553352 has 96 divisors (see below), whose sum is σ = 11638017281280. Its totient is φ = 1389804324480.

The previous prime is 4233253553341. The next prime is 4233253553377. The reversal of 4233253553352 is 2533553523324.

4233253553352 is a `hidden beast` number, since 4 + 2 + 3 + 32 + 5 + 35 + 533 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4233253553298 and 4233253553307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32066793 + ... + 32198535.

It is an arithmetic number, because the mean of its divisors is an integer number (121229346680).

Almost surely, 24233253553352 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 4233253553352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819008640640).

4233253553352 is an abundant number, since it is smaller than the sum of its proper divisors (7404763727928).

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

4233253553352 is a wasteful number, since it uses less digits than its factorization.

4233253553352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138483 (or 138476 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 45.

The spelling of 4233253553352 in words is "four trillion, two hundred thirty-three billion, two hundred fifty-three million, five hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 6661 13322 19983 26644 39966 53288 59949 79932 119898 131743 159864 239796 263486 395229 446287 479592 526972 790458 892574 1053944 1185687 1338861 1580916 1785148 2371374 2677722 3161832 3570296 4016583 4742748 5355444 8033166 8826781 9485496 10710888 16066332 17653562 26480343 32132664 35307124 52960686 70614248 79441029 105921372 158882058 211842744 317764116 635528232 877540123 1755080246 2632620369 3510160492 5265240738 7020320984 7897861107 10530481476 15795722214 21060962952 31591444428 58795188241 63182888856 117590376482 176385564723 235180752964 352771129446 470361505928 529156694169 705542258892 1058313388338 1411084517784 2116626776676 4233253553352