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38432753085243 = 3112968358798853
BaseRepresentation
bin10001011110100010100101…
…00110000110101100111011
312001002010122122100122200110
420233101102212012230323
520014140234242211433
6213423432451435403
711044450310056056
oct1057212246065473
9161063578318613
1038432753085243
111127826a1a4380
1243886372b5b63
13185a268218a4a
1496c225b27a9d
15469acdcd0963
hex22f452986b3b

38432753085243 has 32 divisors (see below), whose sum is σ = 57914519235840. Its totient is φ = 22456457555840.

The previous prime is 38432753085241. The next prime is 38432753085247. The reversal of 38432753085243 is 34258035723483.

38432753085243 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38432753085243 - 21 = 38432753085241 is a prime.

It is a super-2 number, since 2×384327530852432 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38432753085241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28745796 + ... + 30053057.

It is an arithmetic number, because the mean of its divisors is an integer number (1809828726120).

Almost surely, 238432753085243 is an apocalyptic number.

38432753085243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38432753085243 is a deficient number, since it is larger than the sum of its proper divisors (19481766150597).

38432753085243 is a wasteful number, since it uses less digits than its factorization.

38432753085243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58799579.

The product of its (nonzero) digits is 58060800, while the sum is 57.

The spelling of 38432753085243 in words is "thirty-eight trillion, four hundred thirty-two billion, seven hundred fifty-three million, eighty-five thousand, two hundred forty-three".

Divisors: 1 3 11 29 33 87 319 683 957 2049 7513 19807 22539 59421 217877 653631 58798853 176396559 646787383 1705166737 1940362149 5115500211 18756834107 40159616599 56270502321 120478849797 441755782589 1164628881371 1325267347767 3493886644113 12810917695081 38432753085243