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106544793744 = 243490672
BaseRepresentation
bin110001100111010010…
…0001000100010010000
3101012000021211022110000
41203032210020202100
53221200431344434
6120540200410000
710461164542554
oct1431644104220
9335007738400
10106544793744
1141204838554
1218795776900
13a07c71506c
14522a365864
152b88ad7b99
hex18ce908890

106544793744 has 75 divisors (see below), whose sum is σ = 308405558307. Its totient is φ = 35511014304.

The previous prime is 106544793739. The next prime is 106544793757. The reversal of 106544793744 is 447397445601.

The square root of 106544793744 is 326412.

It is a perfect power (a square), and thus also a powerful number.

106544793744 is a `hidden beast` number, since 1 + 0 + 6 + 544 + 7 + 93 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×1065447937442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11746299 + ... + 11755365.

Almost surely, 2106544793744 is an apocalyptic number.

106544793744 is the 326412-nd square number.

It is an amenable number.

106544793744 is an abundant number, since it is smaller than the sum of its proper divisors (201860764563).

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

106544793744 is an frugal number, since it uses more digits than its factorization.

106544793744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18154 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 106544793744 in words is "one hundred six billion, five hundred forty-four million, seven hundred ninety-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 9067 18134 27201 36268 54402 72536 81603 108804 145072 163206 217608 244809 326412 435216 489618 652824 734427 979236 1305648 1468854 1958472 2937708 3916944 5875416 11750832 82210489 164420978 246631467 328841956 493262934 657683912 739894401 986525868 1315367824 1479788802 1973051736 2219683203 2959577604 3946103472 4439366406 5919155208 6659049609 8878732812 11838310416 13318099218 17757465624 26636198436 35514931248 53272396872 106544793744