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10061646193696 = 251929642788789
BaseRepresentation
bin1001001001101010100011…
…0110001110010000100000
31022121212212102102100210111
42102122220312032100200
52304322222411144241
633222131220541104
72055633654344446
oct222325066162040
938555772370714
1010061646193696
11322a135a73839
121166020b51794
1357ca69973206
1426adb449cb96
15126ad6e6bc81
hex926a8d8e420

10061646193696 has 96 divisors (see below), whose sum is σ = 21574052136000. Its totient is φ = 4600928812032.

The previous prime is 10061646193693. The next prime is 10061646193733. The reversal of 10061646193696 is 69639164616001.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 10061646193696.

It is not an unprimeable number, because it can be changed into a prime (10061646193693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113276470 + ... + 113365258.

It is an arithmetic number, because the mean of its divisors is an integer number (224729709750).

Almost surely, 210061646193696 is an apocalyptic number.

10061646193696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10061646193696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10787026068000).

10061646193696 is an abundant number, since it is smaller than the sum of its proper divisors (11512405942304).

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

10061646193696 is a wasteful number, since it uses less digits than its factorization.

10061646193696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95274 (or 95266 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 58.

The spelling of 10061646193696 in words is "ten trillion, sixty-one billion, six hundred forty-six million, one hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 4408 6427 8816 12854 17632 25708 51416 88789 102832 122113 177578 186383 205664 244226 355156 372766 488452 710312 745532 976904 1420624 1491064 1686991 1953808 2574881 2841248 2982128 3373982 3541277 3907616 5149762 5964256 6747964 7082554 10299524 13495928 14165108 20599048 26991856 28330216 41198096 48922739 53983712 56660432 82396192 97845478 113320864 195690956 391381912 570646903 782763824 1141293806 1565527648 2282587612 4565175224 9130350448 10842291157 16548760187 18260700896 21684582314 33097520374 43369164628 66195040748 86738329256 132390081496 173476658512 264780162992 314426443553 346953317024 529560325984 628852887106 1257705774212 2515411548424 5030823096848 10061646193696