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442552254552 = 2332471193109621
BaseRepresentation
bin1100111000010100010…
…10111000000001011000
31120022022020010212112200
412130022022320001120
524222321334121202
6535150010410200
743654600045122
oct6341212700130
91508266125480
10442552254552
1116075a235021
1271929a30960
133296a3b76a5
14175c3704212
15b7a24cde1c
hex670a2b8058

442552254552 has 96 divisors (see below), whose sum is σ = 1225117932480. Its totient is φ = 144256412160.

The previous prime is 442552254539. The next prime is 442552254563. The reversal of 442552254552 is 255452255244.

442552254552 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 52 + 2 + 545 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 442552254498 and 442552254507.

It is a congruent number.

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, 3982302 + ... + 4091922.

It is an arithmetic number, because the mean of its divisors is an integer number (12761645130).

Almost surely, 2442552254552 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 442552254552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612558966240).

442552254552 is an abundant number, since it is smaller than the sum of its proper divisors (782565677928).

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

442552254552 is a wasteful number, since it uses less digits than its factorization.

442552254552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110873 (or 110866 counting only the distinct ones).

The product of its digits is 3200000, while the sum is 45.

The spelling of 442552254552 in words is "four hundred forty-two billion, five hundred fifty-two million, two hundred fifty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1193 1692 2386 3384 3579 4772 7158 9544 10737 14316 21474 28632 42948 56071 85896 109621 112142 168213 219242 224284 328863 336426 438484 448568 504639 657726 672852 876968 986589 1009278 1315452 1345704 1973178 2018556 2630904 3946356 4037112 5152187 7892712 10304374 15456561 20608748 30913122 41217496 46369683 61826244 92739366 123652488 130777853 185478732 261555706 370957464 392333559 523111412 784667118 1046222824 1177000677 1569334236 2354001354 3138668472 4708002708 6146559091 9416005416 12293118182 18439677273 24586236364 36879354546 49172472728 55319031819 73758709092 110638063638 147517418184 221276127276 442552254552