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10194810548448 = 2531739829156841
BaseRepresentation
bin1001010001011010101000…
…0011111011000011100000
31100002121120212122111002110
42110112222003323003200
52314012433000022243
633403233055115320
72101356623602041
oct224265203730340
940077525574073
1010194810548448
11328065a85a489
1211879a5512b40
1358c49c2b5bb6
14273607d148c8
1512a2cc9dbe33
hex945aa0fb0e0

10194810548448 has 96 divisors (see below), whose sum is σ = 28336468476960. Its totient is φ = 3198271242240.

The previous prime is 10194810548407. The next prime is 10194810548449. The reversal of 10194810548448 is 84484501849101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101948105484482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10194810548449) 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 15 ways as a sum of consecutive naturals, for example, 64922508 + ... + 65079348.

It is an arithmetic number, because the mean of its divisors is an integer number (295171546635).

Almost surely, 210194810548448 is an apocalyptic number.

It is an amenable number.

10194810548448 is an abundant number, since it is smaller than the sum of its proper divisors (18141657928512).

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

10194810548448 is a wasteful number, since it uses less digits than its factorization.

10194810548448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196700 (or 196692 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 57.

The spelling of 10194810548448 in words is "ten trillion, one hundred ninety-four billion, eight hundred ten million, five hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 39829 79658 119487 156841 159316 238974 313682 318632 470523 477948 627364 637264 677093 941046 955896 1254728 1274528 1354186 1882092 1911792 2031279 2509456 2666297 2708372 3764184 3823584 4062558 5018912 5332594 5416744 7528368 7998891 8125116 10665188 10833488 15056736 15997782 16250232 21330376 21666976 31995564 32500464 42660752 63991128 65000928 85321504 127982256 255964512 6246820189 12493640378 18740460567 24987280756 37480921134 49974561512 74961842268 99949123024 106195943213 149923684536 199898246048 212391886426 299847369072 318587829639 424783772852 599694738144 637175659278 849567545704 1274351318556 1699135091408 2548702637112 3398270182816 5097405274224 10194810548448