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425894339241 = 3272191631991567
BaseRepresentation
bin1100011001010010100…
…01111110001010101001
31111201022022100002121100
412030221101332022221
523434212422323431
6523353025432013
742525026103300
oct6145121761251
91451268302540
10425894339241
11154691284768
126a65b19b609
1331214238777
1416883231437
15b129d7a4e6
hex632947e2a9

425894339241 has 144 divisors (see below), whose sum is σ = 762198528000. Its totient is φ = 227847888576.

The previous prime is 425894339177. The next prime is 425894339249. The reversal of 425894339241 is 142933498524.

It is a happy number.

425894339241 is a `hidden beast` number, since 4 + 2 + 5 + 89 + 433 + 92 + 41 = 666.

It is not a de Polignac number, because 425894339241 - 26 = 425894339177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (425894339249) 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 143 ways as a sum of consecutive naturals, for example, 271788840 + ... + 271790406.

Almost surely, 2425894339241 is an apocalyptic number.

It is an amenable number.

425894339241 is a deficient number, since it is larger than the sum of its proper divisors (336304188759).

425894339241 is a wasteful number, since it uses less digits than its factorization.

425894339241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1958 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 425894339241 in words is "four hundred twenty-five billion, eight hundred ninety-four million, three hundred thirty-nine thousand, two hundred forty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 163 171 199 399 441 489 597 931 1141 1197 1393 1467 1567 1791 2793 3097 3423 3781 4179 4701 7987 8379 9291 9751 10269 10969 11343 12537 14103 21679 23961 26467 27873 29253 29773 32437 32907 34029 65037 71883 76783 79401 87759 89319 97311 98721 151753 185269 195111 208411 227059 230349 238203 255421 267957 291933 311833 455259 555807 616303 625233 681177 691047 766263 935499 1365777 1458877 1589413 1667421 1787947 1848909 1875699 2043531 2182831 2298789 2806497 4314121 4376631 4768239 4852999 5363841 5546727 5924827 6548493 12515629 12942363 13129893 14304717 14558997 15279817 16091523 17774481 19645479 30198847 33970993 37546887 38827089 41473789 43676991 45839451 50828779 53323443 90596541 101912979 112640661 124421367 137518353 152486337 237796951 271789623 290316523 305738937 355801453 373264101 457459011 713390853 870949569 965746801 1067404359 2140172559 2490610171 2612848707 2897240403 3202213077 6760227607 7471830513 8691721209 20280682821 22415491539 47321593249 60842048463 141964779747 425894339241