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394561354096 = 24713319918821
BaseRepresentation
bin1011011110111011011…
…00000111100101110000
31101201102122210112101001
411233131230013211300
522431030201312341
6501131535051344
740335412113340
oct5573554074560
91351378715331
10394561354096
11142372664218
1264575970b54
132b28c959a80
141514db5ad20
15a3e41e7d31
hex5bddb07970

394561354096 has 160 divisors (see below), whose sum is σ = 972318212096. Its totient is φ = 150885504000.

The previous prime is 394561354093. The next prime is 394561354129. The reversal of 394561354096 is 690453165493.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394561354093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44725366 + ... + 44734186.

Almost surely, 2394561354096 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 394561354096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486159106048).

394561354096 is an abundant number, since it is smaller than the sum of its proper divisors (577756858000).

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

394561354096 is a wasteful number, since it uses less digits than its factorization.

394561354096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9871 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 55.

The spelling of 394561354096 in words is "three hundred ninety-four billion, five hundred sixty-one million, three hundred fifty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 991 1456 1612 1736 1982 2821 3224 3472 3964 5642 6448 6937 7928 8821 11284 12883 13874 15856 17642 22568 25766 27748 30721 35284 45136 51532 55496 61442 61747 70568 90181 103064 110992 114673 122884 123494 141136 180362 206128 215047 229346 245768 246988 273451 360724 399373 430094 458692 491536 493976 546902 721448 798746 802711 860188 917384 987952 1093804 1442896 1597492 1605422 1720376 1834768 1914157 2187608 2795611 3194984 3210844 3440752 3554863 3828314 4375216 5591222 6389968 6421688 7109726 7656628 8741611 11182444 12843376 14219452 15313256 17483222 22364888 24884041 28438904 30626512 34966444 44729776 49768082 56877808 61191277 69932888 99536164 113640943 122382554 139865776 199072328 227281886 244765108 270989941 398144656 454563772 489530216 541979882 795486601 909127544 979060432 1083959764 1590973202 1818255088 1896929587 2167919528 3181946404 3522869233 3793859174 4335839056 6363892808 7045738466 7587718348 12727785616 14091476932 15175436696 24660084631 28182953864 30350873392 49320169262 56365907728 98640338524 197280677048 394561354096