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100056105744 = 24371072783047
BaseRepresentation
bin101110100101111001…
…1110000001100010000
3100120021002012210212020
41131023303300030100
53114403330340434
6113544245331440
710141324603050
oct1351363601420
9316232183766
10100056105744
1139485077191
1217484706b80
139587324cca
144bb26a7560
15290911d849
hex174bcf0310

100056105744 has 80 divisors (see below), whose sum is σ = 298164630528. Its totient is φ = 28320276096.

The previous prime is 100056105733. The next prime is 100056105757. The reversal of 100056105744 is 447501650001.

It is a super-2 number, since 2×1000561057442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 1355572 + ... + 1427475.

Almost surely, 2100056105744 is an apocalyptic number.

100056105744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100056105744 is an abundant number, since it is smaller than the sum of its proper divisors (198108524784).

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

100056105744 is a wasteful number, since it uses less digits than its factorization.

100056105744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783172 (or 2783166 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 100056105744 its reverse (447501650001), we get a palindrome (547557755745).

The spelling of 100056105744 in words is "one hundred billion, fifty-six million, one hundred five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4494 5136 5992 8988 11984 17976 35952 2783047 5566094 8349141 11132188 16698282 19481329 22264376 33396564 38962658 44528752 58443987 66793128 77925316 116887974 133586256 155850632 233775948 297786029 311701264 467551896 595572058 893358087 935103792 1191144116 1786716174 2084502203 2382288232 3573432348 4169004406 4764576464 6253506609 7146864696 8338008812 12507013218 14293729392 16676017624 25014026436 33352035248 50028052872 100056105744