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38201086735 = 5721129138107
BaseRepresentation
bin100011100100111101…
…100101001100001111
310122121022002021102021
4203210331211030033
51111213434233420
625314353511011
72521441610500
oct434475451417
9118538067367
1038201086735
1115223576969
1274a1572467
1337aa483046
141bc56d8ba7
15ed8ae57aa
hex8e4f6530f

38201086735 has 24 divisors (see below), whose sum is σ = 53373217680. Its totient is φ = 26171639424.

The previous prime is 38201086723. The next prime is 38201086739. The reversal of 38201086735 is 53768010283.

It is not a de Polignac number, because 38201086735 - 219 = 38200562447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38201086691 and 38201086700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38201086739) 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 23 ways as a sum of consecutive naturals, for example, 207552 + ... + 345658.

It is an arithmetic number, because the mean of its divisors is an integer number (2223884070).

Almost surely, 238201086735 is an apocalyptic number.

38201086735 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38201086735 is a deficient number, since it is larger than the sum of its proper divisors (15172130945).

38201086735 is a wasteful number, since it uses less digits than its factorization.

38201086735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139255 (or 139248 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 38201086735 in words is "thirty-eight billion, two hundred one million, eighty-six thousand, seven hundred thirty-five".

Divisors: 1 5 7 35 49 245 1129 5645 7903 39515 55321 138107 276605 690535 966749 4833745 6767243 33836215 155922803 779614015 1091459621 5457298105 7640217347 38201086735